What is factor 60ab^5-105a^2b^4 ?

The solution to factor 60ab^5-105a^2b^4 is 15ab^4(4b-7a)

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factor 60ab^5-105a^2b^4

factor

60 a b^{5} - 105 a^{2} b^{4}

15 a b^{4} (4 b - 7 a)

Solution steps

60 a b^{5} - 105 a^{2} b^{4}

Apply exponent rule:

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

a b^{5} = a b^{4} b, a^{2} b^{4} = aa b^{4}

= 60 a b^{4} b - 105 aa b^{4}

Rewrite

- 105

7 \cdot 15

Rewrite

60

4 \cdot 15

= 4 \cdot 15 a b^{4} b + 7 \cdot 15 aa b^{4}

Factor out common term

15 a b^{4}

= 15 a b^{4} (4 b - 7 a)

(x^{2} - 2 x + 3) (x^{2} + 2 x + 3)

2 x^{2} \cdot 3 x^{3}

75 x^{8} + 27 x^{8}

(x + 3)^{3} - 8

\frac{1}{x - 3} + \frac{1}{x + 3}

What is factor 60ab^5-105a^2b^4 ?
The solution to factor 60ab^5-105a^2b^4 is 15ab^4(4b-7a)