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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 22 Page 174

Try to group terms with common factors.

(8x-3a)(4y+5b)

Practice makes perfect

To factor given polynomial, we will start by grouping terms with common factors. 32 xy+40b x-12 ay-15 ab ⇕ (32xy+40bx)+(- 12ay-15ab) Now, we can factor out a greatest common factor - GCF - from each group of terms. Let's do it!

(32xy+40bx)+(- 12ay-15ab)

FactorOut

Factor out 8x

8x(4y+5b)-12ay-15ab

FactorOut

Factor out - 3a

8x(4y+5b)-3a(4y+5b)

FactorOut

Factor out (4y+5b)

(8x-3a)(4y+5b)