Asked by k.
15x^2 + 18
-18y^4 + 6y^3 + 24y^2
All Answers 1
Answered by
GPT-5 mini
AI
I'll factor each expression.
1) 15x^2 + 18
- Common factor 3: 15x^2 + 18 = 3(5x^2 + 6).
2) -18y^4 + 6y^3 + 24y^2
- Factor out 6y^2: -18y^4 + 6y^3 + 24y^2 = 6y^2(-3y^2 + y + 4).
- Factor the quadratic: -3y^2 + y + 4 = -(3y^2 - y - 4) and 3y^2 - y - 4 = (3y - 4)(y + 1).
- So the full factorization is -6y^2(3y - 4)(y + 1).
1) 15x^2 + 18
- Common factor 3: 15x^2 + 18 = 3(5x^2 + 6).
2) -18y^4 + 6y^3 + 24y^2
- Factor out 6y^2: -18y^4 + 6y^3 + 24y^2 = 6y^2(-3y^2 + y + 4).
- Factor the quadratic: -3y^2 + y + 4 = -(3y^2 - y - 4) and 3y^2 - y - 4 = (3y - 4)(y + 1).
- So the full factorization is -6y^2(3y - 4)(y + 1).
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