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Chapter 7: Q 7.87 : (page 855)

Factorize the following polynomial :49x2+84xy+36y2

Short Answer

Expert verified

The factors of the given polynomial is :(7x+6y)(7x+6y)

Step by step solution

01

Step 1. Given Information

Given expression is :49x2+84xy+36y2

02

Step 2. Factorization by arranging as perfect square pattern

49x2+84xy+36y2=(7x)2+2(7x)(6y)+(6y)2=(7x+6y)2=(7x+6y)(7x+6y)

03

Step 3. Check

Now,

(7x+6y)(7x+6y)=(7x+6y)2=(7x)2+2(7x)(6y)+(6y)2=49x2+84xy+36y2

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Most popular questions from this chapter

In the following exercises, factor completely.

15pq鈭�15p+12q鈭�12

In the following exercises, solve:

x2+9x+20=0.

In the following exercises, solve.

(5b+1)(6b+1)=0

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 鈥榓c鈥� method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

Factor Differences of Squares

In the following exercises, factor.

9-121y2
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