What is factor 9x^4+27x^2y-63x^5y^2 ?

The solution to factor 9x^4+27x^2y-63x^5y^2 is 9x^2(x^2+3y-7x^3y^2)

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factor 9x^4+27x^2y-63x^5y^2

factor

9 x^{4} + 27 x^{2} y - 63 x^{5} y^{2}

9 x^{2} (x^{2} + 3 y - 7 x^{3} y^{2})

Solution steps

9 x^{4} + 27 x^{2} y - 63 x^{5} y^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} = x^{2} x^{2}, x^{5} y^{2} = x^{2} x^{3}

= 9 x^{2} x^{2} + 27 x^{2} y - 63 x^{2} x^{3}

Rewrite

- 63

7 \cdot 9

Rewrite

27

3 \cdot 9

= 9 x^{2} x^{2} + 3 \cdot 9 x^{2} y + 7 \cdot 9 x^{2} x^{3}

Factor out common term

9 x^{2}

= 9 x^{2} (x^{2} + 3 y - 7 x^{3} y^{2})

(x + 10) (x - 3)

\frac{4}{5} (15 x - 5)

8 v^{3} + 20 v^{2} + 14 v + 3

\frac{1}{2 x} + \frac{4}{x + 12}

What is factor 9x^4+27x^2y-63x^5y^2 ?
The solution to factor 9x^4+27x^2y-63x^5y^2 is 9x^2(x^2+3y-7x^3y^2)