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Chapter 6: Q. 207 (page 604)

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
2x2-16x2y3

Short Answer

Expert verified

The factored form of the given expression is2x2(2y-1)(4y2+2y+1).

Step by step solution

01

Step 1. Given information.

The given expression is:
2x2-16x2y3

02

Step 2. Determine the factored form.

The given expression can be written as:
2x2-16x2y3=2x2(1-8y3)=2x2(13-(2y)3)=2x2(1-2y)(12+(1)(2y)+(2y)2)鈭�a3-b3=(a-b)(a2+ab+b2)=2x2(1-2y)(1+2y+4y2)

03

Step 3. Conclusion.

The factored form of the given expression is2x2(2y-1)(4y2+2y+1).

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