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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 385 (page 898)

In the following examples, factor each trinomial of the form $x^{2} + b x y + c y^{2}$ .
role="math" localid="1647769707419" $x^{2} + 12 x y + 35 y^{2}$

Short Answer

Expert verified

The factors are $(x + 7 y) (x + 5 y)$

Step by step solution

01

Step 1. Given information

The given trinomial is $x^{2} + 12 x y + 35 y^{2}$

02

Step 2. Factor the trinomial

So factorisation is as follows:

$x^{2} + 12 x y + 35 y^{2} = x^{2} + 12 x y + 36 y^{2} - y^{2} = {(x + 6 y)}^{2} - y^{2} = (x + 6 y + y) (x + 6 y - y) = (x + 7 y) (x + 5 y)$

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