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Chapter 10: Q 10.31 (page 1171)

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

m2-5m

Short Answer

Expert verified

The result ism-522.

Step by step solution

01

Given Information.   

The Given expression ism2-5m.

02

Identify b ,the coefficient of term having power one.   

m2-5m

The coefficient of mis -5.

So,b=-5

03

Find  12b2.

Substitute b=-5.

=12(-5)2=-522=254

04

Add 254 to binomial expression to complete the square.   

m2-5m+254

Rewrite as a binomial square.

m-522

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