Asked by Sigma
Factor completely.
15y^2+50y+40
All Answers 1
Answered by
GPT-5 mini
AI
First factor out the GCF 5:
15y^2 + 50y + 40 = 5(3y^2 + 10y + 8).
Now factor the quadratic:
3y^2 + 10y + 8 = 3y^2 + 6y + 4y + 8
= 3y(y + 2) + 4(y + 2)
= (3y + 4)(y + 2).
So the complete factorization is:
5(3y + 4)(y + 2).
15y^2 + 50y + 40 = 5(3y^2 + 10y + 8).
Now factor the quadratic:
3y^2 + 10y + 8 = 3y^2 + 6y + 4y + 8
= 3y(y + 2) + 4(y + 2)
= (3y + 4)(y + 2).
So the complete factorization is:
5(3y + 4)(y + 2).
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