Question

Factor the following:
x^2-9x+18
x^2-49
2y^3+4y^2-30y

Answer 1

$x^2-9x+18 \\ \\ (x - 6)(x - 3)$

The final result is: (x - 6)(x - 3).

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$x^2-49 \\ \\ x^2 - 7^2 \\ \\ (x + 7)(x - 7)$

The final result is: (x + 7)(x - 7).

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$2y^3+4y^2-30y \\ \\ GCF = 2y \\ \\ 2y( \frac{2y^3}{2y} + \frac{4y^2}{2y} + \frac{-30y}{2y} ) \\ \\ 2y(y^2 + 2y - 15) \\ \\ 2y(y - 3)(y + 5)$

The final result is: 2y(y - 3)(y + 5).