What is factor 27u^4v^5-63u^3v^6 ?

The solution to factor 27u^4v^5-63u^3v^6 is 9u^3v^5(3u-7v)

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factor 27u^4v^5-63u^3v^6

factor

27 u^{4} v^{5} - 63 u^{3} v^{6}

9 u^{3} v^{5} (3 u - 7 v)

Solution steps

27 u^{4} v^{5} - 63 u^{3} v^{6}

Apply exponent rule:

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

u^{4} v^{5} = u^{3} u v^{5}, u^{3} v^{6} = u^{3} v^{5} v

= 27 u^{3} u v^{5} - 63 u^{3} v^{5} v

Rewrite

- 63

7 \cdot 9

Rewrite

27

3 \cdot 9

= 3 \cdot 9 u^{3} u v^{5} + 7 \cdot 9 u^{3} v^{5} v

Factor out common term

9 u^{3} v^{5}

= 9 u^{3} v^{5} (3 u - 7 v)

\frac{x ^{3} - 3 x ^{2}}{x + 8} \cdot \frac{x ^{2} - 64}{x ^{2} - 11 x + 24}

10 \cdot (- 2)

4 x^{5} - 2 x^{4} + 30 x^{3} - 15 x^{2} + 50 x - 25

0. 2^{- 2}

(\frac{5}{5} + \frac{3}{2} i)^{2}

What is factor 27u^4v^5-63u^3v^6 ?
The solution to factor 27u^4v^5-63u^3v^6 is 9u^3v^5(3u-7v)