What is factor 8x^5y^7-20x^3y^6 ?

The solution to factor 8x^5y^7-20x^3y^6 is 4x^3y^6(2x^2y-5)

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factor 8x^5y^7-20x^3y^6

factor

8 x^{5} y^{7} - 20 x^{3} y^{6}

4 x^{3} y^{6} (2 x^{2} y - 5)

Solution steps

8 x^{5} y^{7} - 20 x^{3} y^{6}

Apply exponent rule:

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

x^{5} y^{7} = x^{3} x^{2} y^{6} y

= 8 x^{3} x^{2} y^{6} y - 20 x^{3} y^{6}

Rewrite

- 20

5 \cdot 4

Rewrite

8

2 \cdot 4

= 2 \cdot 4 x^{3} x^{2} y^{6} y + 5 \cdot 4 x^{3} y^{6}

Factor out common term

4 x^{3} y^{6}

= 4 x^{3} y^{6} (2 x^{2} y - 5)

5 a - 5 b

32 - 7

1 - 16 a x^{2} + 64 a^{2} x^{4}

\frac{3}{4 - 5}

\frac{2}{7} \div \frac{1}{8}

What is factor 8x^5y^7-20x^3y^6 ?
The solution to factor 8x^5y^7-20x^3y^6 is 4x^3y^6(2x^2y-5)