EVALUATE THE FOLLOWING EXPRESSIONS USING SPECIAL PRODUCT 1. ( 2x* 5y6 )3

Q: This is how you use simplify using the Product Rule. 4. Xェ T. True False

A: Given that, x-6×x2=x-4 we have to check that given statement is true or false. we know the product…

Q: 7) Express as a product in simplest form: 4y/10x y3 - 2x/6xy

A: The given expression can be written as:  4y10x5y2.2x6xy The simplified form will be: ⇒8xy10x5y2.6xy⇒…

Q: Verify the Power Rule for the exponent 1/n, where n is a positive integer, using the following…

A: To Verify:  the Power Rule for the exponent 1/n, where n is a positive integer. Using and rewriting…

Q: 2. Write (n – 2)! using product (II) notation.

A: Given : (n - 2)!

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: What is the last term in the expansion (2xy z+3x²y)4?

A: Consider the provided expression, 2xy2z3+3x2y4 Write the last term of the expression. Apply the…

Q: Compute the product. 8. II (-1)/ = j = 0

A: We put j =0 to 8 and solve it.

Q: Use the product rule to simplify the following expression.

A: To simplify the expression: x9 Solution: From the property of exponents, we have xan=xan We have…

Q: Prove: For any positive integer n, x™1 - yl = (x- y) xy' (You may use the laws | of exponent in your…

A:

Q: Find the positive and negative coterminal for 16pi/5.

A: Need to find positive and negative coterminal for the given angle

Q: Find the Term that free from x of the expansion (x2 +10

A: Given expansion(x2+(2/x3))10 a=x2 and b=2/x3, n=10 Formula  General term formula is, Tr+1= nCr…

Q: Find the coefficient of x²y in the expansion of (-4x + y)°. Give your answer as an integer.

A:

Q: Find the first three terms in the expansion. 1) (x+3y) 2) (x-2)

A: From the Binomial expansion, (a+b)n=C0nan+C1nan-1b+C2nan-2b2+⋯Cnnbn (1) If the expression is:…

Q: 2) Rewrite each of the following using rational exponents.

A: (n√x)m = (x1/n)m = x1/n × m = xm/n Where m, n and x are integers

Q: Ryuto tried to reduce the following expression to lowest terms: x2 +x-6 x2 – 4x + 4 This is his…

A:

Q: Use the binomial theprem to expond (xty 5. Hence find the valué of 32(2) 243 from the exgansian of…

A: Consider the binomial expansion formula, a+bn=∑r=1nCrn·br·an-r Substitute a=x and b=y in the…

Q: Simplify the following using the Product Rule. 2 x 37 223

A: Our Aim is to simplify the following expression given below:-2x3×3x9-(i) using the Product Rule.

Q: Rationalize the numerator. Vx2 + 5- X Neod Hona

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Q: 5л 4

A:

Q: 12. Express the following quotient in simplest form without the use of negative exponents. 5x'y"…

A:

Q: 29. V6. V10

A:

Q: Simplify the given product below. (x + 11)(11x + 1) O 11x2 + 122x + 11 O 11x2 - 122x + 11 O 11x2 +…

A: We can find the correct answer as below

Q: x

A: We see that the r-th term of (x+y)27 is given by Cr27xry(27-r)  i.e. the sum of exponent of x and y…

Q: asSin3x-Sn Sx =D

A: here question is sin3x - sin5x =0 so solve for x here we use sum to product identity sin3x - sin5x =…

Q: Find the inverse of 6 − 5√7 in the field ℚ[ √7]

A: To find the inverse of 6 − 5√7 in the field ℚ[ √7].

Q: Find the CP of the following and classify it using FDT and SDT y = 2x^3 +9x^2-13

A: Find out the critical point and also classify it using the first derivative test and second…

Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

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Q: Simplify the given product below. (x+5) 2x O 2x2 + 10x O x² + 10x O 12x2 O x2 + 10x

A: We can simplify the product as below.

Q: Jse MATLAB to carry out the following multiplication of polynomials: (x +1.4)(x– 0.4).x(x+0.6)(x-…

A: Given that: (x+1.4)(x-0.4)x(x+0.6)(x-1.4)

Q: 03 Evaluate J (3-2x)5 using substitution

A:

Q: Simplify the following using power of product rule: (3x* x 4x 7) O 248832r–15 O 248832715 248832 z15…

A:

Q: Evaluate the integral. 1 -3 6²3 16 + r² dr

A:

Q: Perform the indionted operation. 2y-1 2x-1 2x 2x²+5x +3 -1 to ® 2x-1 x+1 3. 4. 3. x+3 2x²-x-3 x²-5x…

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Q: Simplify the following using power of product rule: (2a3

A:

Q: Which of the following can var(2X + 3Y – Z) be simplified to?

A: Var(αx + βy) = α²Var(x)+β²Var(y)+2αβCov(x, y).

Q: Find the following products.   (3+7i) (3-7i)

A: Find the following products.     (3+7i) (3-7i)

Q: 12. Express the following quotient in simplest form without the use of negative exponents. 28x'y*…

A: The given expression is 28x7y45÷7x3y925.

Q: Simplify using the Power of a Product Rule (4² x 2")* O 43 23 O 41 x 20 O 4° x 2° X 20

A:

Q: Find exp(A) where 4 1 A = 4

A:

Q: 7) Express as a product in simplest form: 4y/10x5y³ . 2x/6xy

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 12. Express the following quotient in simplest form without the use of negative exponents. 5x'y"…

A: To find the simplest form of following expression  (5x2y11)/2 ÷ (x4y6/6)

Q: Find the product: (0.25 x 0.15) Show ALL work!

A:

Q: find the simple formula for the product (1-1/2)(1-1/3)...(1-1/n)

A: topic - product of series  answer is 1/n

Q: Simplify the given product below. (x + 1) (x + 2) O x² + 3x + 1 O x² + 4x + 2 O x² + 2 O x2 + 3x + 2

A:

Q: Find the product of the expression using special product ( 2 aª – 5 º)³

A:

Q: Find the inverse of y In (x4 - 6) for x > 614. (Use symbolic notation and fractions where needed.) х…

A: Given,

Q: Evaluate the followingintegrals.∫x(x+10)9dx

A: Our Aim is to evaluate the integral given below:-∫x(x+10)9 dx -(i)