Simplify the difference quotient by rationalizing the numerator. Vx + h – 5 Vx - 5

Q: Perform the indicated operations.

A: Given: x+h-xh

Q: 2) Simplify the Radical V45 A) B) V3. V5

A: Given  A) 45 B) 3.5

Q: Simplify the expression and express the answer using rational exponents. Assume that all letters…

A:

Q: multiply the rational expression  8u2v / 3u+v multiplied by u+v / 12u

A: The given expression is

Q: Use rational exponents to simplify. Assume that all variables represent nonnegative numbers. 10 b.…

A: Solution:a. x510   b. 27a153   c.x6y24Formula:xmn =xmnxm+n =xm xn

Q: Rewrite the difference quotient by rationalizing the numerator. Vx +h - 1 Vx - 1

A: Given Data: Difference quotient: x+h-1-x-1h Apply rationalisation to the numerator of difference…

Q: Simplify the expressions. If your answer is a fraction write your answer like this a/b. Ex: Write…

A:

Q: Simplify. Express your answer as a single term, without a denominator. -4 t t

A:

Q: ydy can best be evaluated by algebraic substitution. A) True B) False

A: We have to solve above question and find true or false

Q: Simplify. Express your answer as a single term, without a denominator. r's t°u•r°s?tu¯-6 t°u•r´s

A: express your answer as a single term, without a denominator-r4s-1t8u.r9s2tu-6

Q: Rationalize the numerator. 'x - Vx + h hyxVx + h

A: SolutionGiven x-x+hhx x+hfor rationalize the numerator we need tomultiply with conjugate ie x+x+h…

Q: Rationalize the numerator.

A: x-x+hhxx+h

Q: Rationalize the numerator.

A: Given: x+h3-x3h

Q: Rationalize the denominator. SHOW ALL WORK clearly and neatly. 81 a. 3 4 b. y-Vx

A: a.8143=81343rationalize 43=81343x4343=81x434x43=3x3x3x3x2x232x2x2x23=321223=3263        answer

Q: What should you multiply the numerator and the denominator of 2x r+3 4x 2x , by to get the LCM in…

A: Solution ) 2x/(x + 3) + 4x/(x2 + 2x -3) To adding this we take LCM of  (x + 3) and (x2 + 2x -3) (x2…

Q: Rewrite with rational exponents: V5xy 5/a b b. a. 2

A: We have to rewrite the rational exponents: a.  5xy4b.  a3b25 We know the properties of exponents,…

Q: Simplify. Express your answer as a single term, without a denominator. t?u° •t¯*u° -2 n. -1 n.

A: Given : t-2 u0 . t-1 u0

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

A:

Q: m² as an expression with rational exponents. O m O m O m6

A: Given expression 3√m2 WWe should I rewrite it with rational exponent

Q: Rationalize the denominator of each expression:(a) 1/√3(b) 5/4√2(c) √2/(√3 - 3√2)

A: We have to rationalize the denominator of the expressions: a  13b  542c  23-32 Solving a:…

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (2u + υ)(2u - υ)

A: (2u+v)(2u-v)

Q: 22+7x+10 12+4x-5 Simplify the expression

A:

Q: Simplify the expression completely. 6x -6 8.x +8.x 3-3x 4x +4.x O A -x-1 ов х+1 OC -1 OD 1

A:

Q: simplify x2-10xy+25y2 / x2-5xy =

A:

Q: Simplify the expression below. 3x+5 3 9x²-25 9x² - 30x+25 Select one: O a. 2x + 11 x-5 x - 3/1 O b.…

A: Basic rules are used .

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: Vx + 2 Rationalize the numerator:

A:

Q: -12c^7/9c^-10 simplify using only postive exponents

A: Given : -12c79c-10

Q: A. Rewrite each expression using rational exponents. 1. xy 2. Vo'b'c 3. fg 4. Vx+ y

A: Here, the given expressions are  3) f3g64  4) (x+y)25 We need to re-write the expression using…

Q: Simplify the radical expression by rationalizing the denominator. V3 + V2 V3 - V2

A: We have to simplify

Q: How can you write VnT using rational exponents? O . n 4 O C. n 20 O D. n

A:

Q: Rewrite with rational exponents: (V13xy). а. b.

A: Given: a. 753b. 13xy49 To Find: To rewrite with rational exponents to the given expressions.

Q: Simplify the expression, and eliminate any negative exponent(s).

A: We have to simplify the expressions: (a)  x-2y4-3(b)  y2-12x-3y4-3(c)  2a-1b-2-3b-12a22 (a)…

Q: Use rational exponents to write as a single radical expression. 4/.4.5 Vx'y ху 3 ху Vxy 4.4,5 Vx'y 3…

A:

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (3 + 2y)3

A:

Q: Find the following quotient by rationalizing denominator. Write the answer in the standard form: 3–…

A:

Q: (4x+32)/12     simplify the following expression completely

A: Given expression is 4x+3212we can take 4 common from the numerator

Q: Write the following expression using simplified rational exponents. 9. 6 4 5. Vx y х у

A:

Q: simplify the monomials below. Final answer should contain positive exponents only.  (-4a3b2)2 x…

A: The given expression is  (-4a3b2)2 x (3a2b)

Q: Rewrite 3m as an expression with rational exponents. m6 O Im O m O m

A:

Q: Write the expression as a single quotient in which only positive exponents and/or radicals appear.…

A:

Q: Simplify the radical expression. (1 + V5x)(-V5 + x)

A: We have

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (3y - 1)2

A:

Q: Rewrite the expression using rational exponents.

A: Given: Th radical expression is a+b23. Concept used: Writing radical as rational exponent. amn=amn…

Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: To rationalize the denominator of the expression √2/ ( 1 - √3 ), multiply both the numerator and the…

A: Given that the expression21-3 To rationalize the denominator.

Q: 3. Simplify. 12ab-4b a) 10xy b) 5x²y-15xy -6ab

A: Part a,Given,           12ab-4b2-6abTo find : Simplify

Q: Fill in the blank/s : An equivalent expression for (3x + 2) / (x - 5) with a denominator of (3x +…

A: Given expression is 3x+2x-5. We have to make an equivalent expression for 3x+2x-5 with a denominator…

Q: Simplify by rationalizing the numerator of the expression. Vx + Vỹ 3 Vx + Vỹ 3.

A:

Q: Evaluate the difference quotient and simplify the result.

A: Consider the function f(x) = 1/√x .Evaluate the difference quotient as follows.