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Chapter 10: Q 10.30 (page 1170)

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

b2-4b

Short Answer

Expert verified

The result is(b-2)2.

Step by step solution

01

Given Information.   

The Given expression isb2-4b.

02

Identify  b,the coefficient of term having power one.   

b2-4b

The coefficient of bis -4.

So,b=-4.

03

Find 12b2.

Substitute b=-4.

=12(-4)2

=-22=4

04

Add 4 to binomial expression to complete the square. 

b2-4b+4

Rewrite as a binomial square.

(b-2)2

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