What is factor 36a^7b^5+9ab^2-72ab^6 ?

The solution to factor 36a^7b^5+9ab^2-72ab^6 is 9ab^2(4a^6b^3+1-8b^4)

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factor 36a^7b^5+9ab^2-72ab^6

factor

36 a^{7} b^{5} + 9 a b^{2} - 72 a b^{6}

9 a b^{2} (4 a^{6} b^{3} + 1 - 8 b^{4})

Solution steps

36 a^{7} b^{5} + 9 a b^{2} - 72 a b^{6}

Apply exponent rule:

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

a^{7} b^{5} = a a^{6} b^{2} b^{3}, a b^{6} = a b^{2} b^{4}

= 36 a a^{6} b^{2} b^{3} + 9 a b^{2} - 72 a b^{2} b^{4}

Rewrite

- 72

8 \cdot 9

Rewrite

36

4 \cdot 9

= 4 \cdot 9 a a^{6} b^{2} b^{3} + 9 a b^{2} + 8 \cdot 9 a b^{2} b^{4}

Factor out common term

9 a b^{2}

= 9 a b^{2} (4 a^{6} b^{3} + 1 - 8 b^{4})

0.25 (2 x + 4) = 5

13384.63 (\frac{0.075}{12})

4 y = 38 - \frac{1}{2} (4 y + 16)

- \frac{1}{2} u - \frac{2}{7} = \frac{1}{5}

5 - 3 (6 v + 5) > - 9 v + 10 - 8 v

What is factor 36a^7b^5+9ab^2-72ab^6 ?
The solution to factor 36a^7b^5+9ab^2-72ab^6 is 9ab^2(4a^6b^3+1-8b^4)