What is factor 4x^2y^5+8x^3y^3+9x^2y^3 ?

The solution to factor 4x^2y^5+8x^3y^3+9x^2y^3 is x^2y^3(4y^2+8x+9)

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factor 4x^2y^5+8x^3y^3+9x^2y^3

factor

4 x^{2} y^{5} + 8 x^{3} y^{3} + 9 x^{2} y^{3}

x^{2} y^{3} (4 y^{2} + 8 x + 9)

Solution steps

4 x^{2} y^{5} + 8 x^{3} y^{3} + 9 x^{2} y^{3}

Apply exponent rule:

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

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

= 4 x^{2} y^{3} y^{2} + 8 x^{2} x y^{3} + 9 x^{2} y^{3}

Factor out common term

x^{2} y^{3}

= x^{2} y^{3} (4 y^{2} + 8 x + 9)

4 x^{2} - 15 x y + 14 y^{2}

- 2 \cdot 3^{- (- 2)}

\frac{\frac{3}{x + h} - \frac{3}{x}}{h}

2 x^{2} + 5 x + 3 = 0

(7 x)^{3}

What is factor 4x^2y^5+8x^3y^3+9x^2y^3 ?
The solution to factor 4x^2y^5+8x^3y^3+9x^2y^3 is x^2y^3(4y^2+8x+9)