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Chapter 6: Q 6.56 (page 597)

Factor:121p2-9q2.

Short Answer

Expert verified

Factors of121p2-9q2are11p-3q11p+3q.

Step by step solution

01

Step 1. Given information.

Given an expression 121p2-9q2.

02

Step 2. Find if the expression is of the form a2-b2.

Consider a=11p,b=3q.

It can be seen that 121p2-9q2=11p2-3q2.

Therefore, the expression is of the form .

03

Step 3. Write the product of conjugates.

Note that.

It follows that 121p2-9q2=11p-3q11p+3q.

04

Step 4. Verify.

Multiply the factors as follows.

11p-3q11p+3q=11p2-3q2=121p2-9q2

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