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Chapter 10: Q 64 (page 1181)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

q2-6q

Short Answer

Expert verified

The result is(q-3)2.

Step by step solution

01

Given Information. 

The Given expression isq2-6q.

02

Identify b,the coefficient of term having power one. 

q2-6q

The coefficient of qis -6.

So,b=-6.

03

Find 12b2.

Substitute b=-6

=12(-6)2=-32=9

04

Add 9 to binomial expression to complete the square. 

q2-6q+9

Rewrite as a binomial square.

(q-3)2.

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