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Chapter 6: Q. 198 (page 603)

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
y3-216

Short Answer

Expert verified

The factored form of the given expression is (y-6)(y2+6y+36).

Step by step solution

01

Step 1. Given information.

The given expression is:
y3-216

02

Step 2. Determine the factored form.

The given expression can be written as:
y3-216=y3-63=(y-6)(y2+(y)(6)+62)鈭�a3-b3=(a-b)(a2+ab+b2)=(y-6)(y2+6y+36)

03

Step 3. Conclusion.

The factored form of the given expression is(y-6)(y2+6y+36).

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