What is factor 12x^5y^3-9x^2y^7 ?

The solution to factor 12x^5y^3-9x^2y^7 is 3x^2y^3(4x^3-3y^4)

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factor 12x^5y^3-9x^2y^7

factor

12 x^{5} y^{3} - 9 x^{2} y^{7}

3 x^{2} y^{3} (4 x^{3} - 3 y^{4})

Solution steps

12 x^{5} y^{3} - 9 x^{2} y^{7}

Apply exponent rule:

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

x^{5} y^{3} = x^{2} x^{3} y^{3}, x^{2} y^{7} = x^{2} y^{3} y^{4}

= 12 x^{2} x^{3} y^{3} - 9 x^{2} y^{3} y^{4}

Rewrite

- 9

3 \cdot 3

Rewrite

12

4 \cdot 3

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

Factor out common term

3 x^{2} y^{3}

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

(7 x^{5})^{2}

(2.8)^{2}

tan^{4} (x) - sec^{4} (x)

\frac{4}{3} (2)

\frac{1}{7} \cdot \frac{5}{2}

What is factor 12x^5y^3-9x^2y^7 ?
The solution to factor 12x^5y^3-9x^2y^7 is 3x^2y^3(4x^3-3y^4)