SOLUTION: What is the step by step process to factor this equation using substitution? (y-2)^2+5(y-2)-36

Question 747404: What is the step by step process to factor this equation using substitution?
(y-2)^2+5(y-2)-36
Found 2 solutions by kekegeter , MathTherapy:
Answer by kekegeter (97) (Show Source): You can put this solution on YOUR website!
1) (y^2+2y(-2)+(-2)^2)+(5y-5*2)-36
2) (y^2-2y*2+2^2)+5y-10)-36
3)(y^2-4y+4)+(5y-10)-36
4) y^2-4y+4+5y-10-36
5) y^2+y-42
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

What is the step by step process to factor this equation using substitution?
(y-2)^2+5(y-2)-36

----- Substituting x for (y - 2)

(x + 9)(x - 4) ------ Factoring trinomial

(y - 2 + 9)(y - 2 - 4) ------ Substituting back (y - 2) for x

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