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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 411 (page 899)

Factor Perfect Square Trinomials In the following exercises, factor.
$36 a^{2} - 84 a b + 49 b^{2}$

Short Answer

Expert verified

On factorization we get ${(6 a - 7 b)}^{2}$

Step by step solution

01

Step 1. Given information

An expression is given as $36 a^{2} - 84 a b + 49 b^{2}$

02

Step 2. factorization

Use square property $(a - b)^{2} = a^{2} - 2 a b + b^{2}$

First convert it into standard form,

$36 a^{2} - 84 a b + 49 b^{2} = {(6 a)}^{2} - 2 \times 6 a \times 7 b + {(7 b)}^{2} \Rightarrow {(6 a - 7 b)}^{2}$

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Most popular questions from this chapter

Factor: $24 y^{3} - 12 y^{2} - 20 y$

Factor Trinomials of the form $x^{2} + b x + c$

$a^{2} + 14 a + 33$

A rectangular sign has an area of $30$ square feet. The length of the sign is one foot more than the width. Find the length and width of the sign.

Find the Greatest Common Factor from a polynomial

$15 m^{4} + 6 m^{2} n$

Factor Differences of Squares

In the following exercises, factor.

$49 a^{2} - 144$

See all solutions

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