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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 77 Page 176

Try to group terms with common factors.

(x+y)(x-y)(2b+5a)

Practice makes perfect

To factor given polynomial, we will start by grouping terms with common factors. 5a x^2-2b y^2-5a y^2+2b x^2 ⇕ (5ax^2+2bx^2)+(- 2by^2-5ay^2) Now, we can factor out a greatest common factor - GCF - from each group of terms. Let's do it!

(5ax^2+2bx^2)+(- 2by^2-5ay^2)

FactorOut

Factor out x^2

x^2(5a+2b)-2by^2-5ay^2

FactorOut

Factor out - y^2

x^2(5a+2b)-y^2(2b+5a)

FactorOut

Factor out (2b+5a)

(x^2-y^2)(2b+5a)

FacDiffSquares

a^2-b^2=(a+b)(a-b)