In multiplication of unlike terms, the exponents of the literal factors do not have to be the same to multiply the values. True or False

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (5x + 1)2

A: We have to multiply the given algebraic expression using special product formula: 5x+12 We know the…

Q: Simplify completely and express in terms of positive exponents (a-2b+5/a7b-8)-4

A: Given as

Q: Simplify and express the answer in descending powers of x:2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

A:

Q: Divide using synthetic division. x +243 x+3 x° +243 x+3 x+3 (Simplify your answers. Do not factor.…

A: Given fraction is x5+243x+3. Given denominator is x + 3. Then the factor can be written as x= -3.

Q: Use the laws of exponents to simplify the expressions

A: The exponent of exponent multiplies

Q: For multiplying special cases, how do I simplify product? (x+2) (x+2) (x+2)

A: Given information:The given quantity is (x + 2)* (x + 2)* (x + 2).The cube of a binomial is given…

Q: Use synthetic division to divide x°+ x - 8 by x 2 Give your answer in the remainder form quotient+…

A:

Q: Is the following statement true or false?: When multiplying and dividing scientific notation, you…

A: The rules of exponents is that if a factor is repeated multiple times, then the product can be…

Q: Express the following fraction in simplest form, only using positive exponents. 56-10v-10 (3bv-1)-4

A:

Q: Use long division to divide. (Simplify your answer completely.) (2x2 + 20x + 42) ÷ (x + 7)…

A: To use Use long division to divide.: (2x2 + 20x + 42) ÷ (x + 7)    x ≠ −7 Answer is  2x+6.

Q: Vocabulary: - to multiply powers with the same base, Algebra: Numbers: Ex: 1. x * x* x3 . x8 2. 3.…

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Q: When combining like terms, you will need to add or subtract coefficients and exponents. O True O…

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Q: The remainder upon the division of x 98 + 4 by x - 2 in z, is: 1 6. None

A:

Q: What is the student's least common denominator

A: Given, x / (x2 + 1) -  2 / (x+1) For addition we have take least common multiple from the…

Q: simplify and express the final result using positive exponents. (6x-2/2x4)-2

A:

Q: Simplify and express the answer in descending powers of x: 2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

A: Given: 2x(x2+4x+5)+3(x2+4x+5) To determine: To simplify and express the expression in descending…

Q: Use synthetic division to divide. (Simplify your answer completely.) (6x3 + 7x2 − x + 27) ÷ (x − 3)

A:

Q: Any base raised to the exponent of zero is equal to zero true or false

A: Exponent: When we write a to the power b i.e., ab, where a and b are real numbers, then, b is called…

Q: Compute and simplify so that only positive exponents remain. (-4a-764c) ÷ (2a°b6)

A: Dear student,                      According to our guidelines we can only answer first question or…

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (x2 + 1)2

A: Consider the given expression, x2+12 The square of sum formula is A+B2=A2+2AB+B2 By comparing the…

Q: Divide using synthetic division. x + 9x - 10 x-1 x* + 9x - 10 5.0 X- 1 Simplify your answers. Do not…

A: apply synthetic division

Q: Use long division to divide. Express any numbers as integers or simplified fractions. (-12-20x+15x…

A:

Q: Use long division to divide. (Simplify your answer completely.) (6x + 5) ÷ (x + 1) 6x+5x+1​…

A:

Q: Simplify the expression by first pulling out any common factors in the numerator and then expanding…

A: The given expression is: (3x+2)12-(x+3)(3x+2)-123x+2

Q: What must the missing numerator be, given the following simplified expression: x2 + x – 20 1 - x2 –…

A:

Q: Multiply the algebraic expressions using the FOIL method, and simplify. (s + 6)(2s + 3)

A: the given algebraic expression is: s+62s+3 we have to multiply the given algebraic expression using…

Q: 1. Find all factors of the expression below, and verify that your answer is correct. Show your work.…

A: To find the factors of the expression

Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

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Q: Perform the division. 8 6. - 24x° +36x 9x - 24x° +36x 6. (Simplify your answer.) %3D 9x 6.

A:

Q: Simplify 5(x-z)^10 - 15(z-x)^10 and use no negative exponents or radicals.

A:

Q: Write the answers in scientific notation. If necessary, round the decimal factor in your scientific…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Use synthetic division to divide. (Simplify your answer completely.) (6x3 + 7x2 − x + 25) ÷ (x − 3)…

A:

Q: While x^4 + 4 cannot be factored using any of the identities we have learnt so far, we can apply a…

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Q: True or False To multiply two expressions having the same base, retain the base and multiply the…

A: We have to say that the given statement is true or false: To multiply two expressions having the…

Q: True or false: 7 x 10* is written in scientific notation.

A: A number is said to be written in the scientific notation if it has been written in the powers of 10…

Q: Activity 3: Translate expressions with rational exponents into radical expressions. Simplify…

A: The given expressions,1. 64532. xpq3. -51223

Q: Divide and account for missing powers of x. x3-2 divided by x-1

A: Given can be expressed as,

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (x + 6)(x - 6)

A: To multiply the algebraic expression: x+6x-6 Solution: To multiply the two polynomial, we multiply…

Q: When involving negative exponents, I know that you use the inverse of the base, but why/how does it…

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Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Divide using synthetic division. 5 x° +243 x+3 x° + 243 %3D X+3 (Simplify your answers. Do not…

A:

Q: Use long division to divide. (Simplify your answer completely.) (3x + 2x3 − 9 − 8x2) ÷ (x2 + 1)

A:

Q: Use synthetic division to divide. (Simplify your answer completely.) (2x3 − 14x2 + 30x − 18) ÷ (x −…

A:

Q: Rewrite without rational exponents, and simplify, if possible. 3 4 256 3 (Simplify your answer. Type…

A: Rational exponents (also called fractional exponents) are expressions with exponents that are…

Q: Vx-4 Vx-9

A: See solution below

Q: What are the rules for adding, subtracting, and multiplying radicals? Give an example for each and…

A: A Radical is an expression that involves a root, usually a square root or cube root.

Q: By use of long division, find all remaining factors of the expression x 3 + 3 x 2 − 22 x − 24

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Q: (1-2)(1+3

A:

Q: Simplify the expression by first getting a common denominator, then pulling out any common factors…

A: Given expression is We need to simplify it.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.