Use the “difference of squares” rule to factor the following expression: 100a^6-64b^8

  1. 👍 0
  2. 👎 0
  3. 👁 113
  1. 100a^6 - 64b^8.

    First, take the sqrt of each term:
    (10a^3 + 8b^4)(10a^3 - 8b^4),
    Factor again:

    2(5a^3 + 4b^4)*2(5a^3 - 4b^4).

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. His work is shown below. Step 1: p(x)=(x+3)(x−3)(x−2) Step 2: x+3=0 x−3=0 x−2=0 Step 3: x=2, x=3, x=−3 Explain why Davide’s work shows that 2, 3,

    asked by London on December 7, 2019
  2. math

    Link to the diagram - a) Determine what kind of growth this is and explain how you know. b) Explain how you can go about finding an expression for the number of small squares in

    asked by Cary on July 16, 2020
  3. math

    Consider the polynomial p(x)=32x5y−2xy5. Part A: What is the complete factorization of p(x)=32x5y−2xy5 over the integers? Part B: What methods are used to factor p(x)=32x^5y−2xy^5? Select one answer for Part A and select all

    asked by Ace on December 6, 2019
  4. math

    Write an expression for the sum of the squares of two consecutive integers. (Use x for the integer.) 1 Simplify that expression. 2

    asked by jannette on February 27, 2011
  1. Math

    4. Which explains why the sequence 81, 3, 1/9,... is arithmetic or geometric? A)The sequence is arithmetic because it decreases by a factor of 1/27 B)The sequence is geometric because it decreases by a factor of 1/27 C)The

    asked by Jeff the Killer Hates Math on March 31, 2015
  2. physics

    Two cylindrical conductors with equal cross sections but different resistivities are put end-to-end. Find the magnitude of the charge that accumulates at the boundary between the conductors if a current I=100A flows in the wires.

    asked by Sahil on April 11, 2013
  3. Maths C

    I need to compare and contrast Weddle's Rule and Simpson's rule and outline a distinguishing difference between them. I understand Simpson's Rule but I am finding it difficult to obtain clear information about Weddle's rule.

    asked by Sam on June 23, 2011
  4. factoring

    Factor x3 + 9x2 + 27x + 27 Factor 8a3 + 60a2b + 150 ab2+ 125b3 I tried doing them, but I just don't get how; perfect squares didn't work and neither did decomposition... someone please help me.

    asked by Chujung on December 4, 2007
  1. math

    The area of a square garden is represented by the quadratic expression 9x^2 - 12x + 4. The length of one side of the square garden is 91 inches. What is the value of x ? Hint: Since the garden is in the shape of a square, the

    asked by Jalen on November 29, 2016
  2. algebra

    wHeN closed,an entertainment center is mAdE of four square panels.the TiRed smaller panels aRe Congruent squares.wHaT is the scale factor of the larger square to the smaller squares?

    asked by CHaNel on April 22, 2010
  3. math

    Completely factor the expression 2a3 − 128. A. 2(a − 4)3 B. 2(a − 4)(a2 + 4a + 16) C. 2(a3 − 64) D. Prime Completely factor the expression 7(x − y) − z(x − y). A. Prime B. (x − y)(7 − z) C. (x − y)(7 + z) D. (x

    asked by realiesna on May 14, 2015
  4. Algebra 1.

    Factor: 50r^8 – 32r^2 The caret symbol represents a power. 2r^2(25r^6+16)= 2r2(25r6+16) DrBob222 forgot a minus sign: 50r^8 – 32r^2 = 2r^2(25r^6 - 16) Then, inside the brackets, you see a difference of two squares: 25r^6 - 16

    asked by Elton on January 9, 2007

You can view more similar questions or ask a new question.