What is factor-20x^4y^2-35x^3y^3 ?

The solution to factor-20x^4y^2-35x^3y^3 is -5x^3y^2(4x+7y)

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factor-20x^4y^2-35x^3y^3

factor

- 20 x^{4} y^{2} - 35 x^{3} y^{3}

- 5 x^{3} y^{2} (4 x + 7 y)

Solution steps

- 20 x^{4} y^{2} - 35 x^{3} y^{3}

Apply exponent rule:

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

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

= - 20 x^{3} x y^{2} - 35 x^{3} y^{2} y

Rewrite

- 35

7 \cdot 5

Rewrite

- 20

4 \cdot 5

= 4 \cdot 5 x^{3} x y^{2} + 7 \cdot 5 x^{3} y^{2} y

Factor out common term

- 5 x^{3} y^{2}

= - 5 x^{3} y^{2} (4 x + 7 y)

\frac{6 x}{6}

\frac{6 x}{x}

\frac{x ^{3} + 8 x ^{2}}{x ^{2} + x - 56} \cdot \frac{x ^{2} - 11 x + 28}{4 x}

- 9 - (- 3)

(3 x - 4)^{3}

What is factor-20x^4y^2-35x^3y^3 ?
The solution to factor-20x^4y^2-35x^3y^3 is -5x^3y^2(4x+7y)