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Chapter 7: Q 7.110 (page 864)

Factor:v3-343

Short Answer

Expert verified

The factorization of the expression is(v-7)(v2+7v+49)

Step by step solution

01

Step 1. Given information

Given expression isv3-343

02

Step 2.  Write the terms as a cube a3-b3

a3-b3=v3-73

03

Step 3. Write the difference in the cubes pattern and simplify.

(a-b)(a2+ab+b2)=(v-7)(v2+v脳7+72)=(v-7)(v2+7v+49)

04

Step 4. Check

(v-7)(v2+7v+49)=v3-7v2+7v2-49v+49v-343=v3-343

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