What is factor 36a^3b^4-20a^2b^3-8ab^2 ?

The solution to factor 36a^3b^4-20a^2b^3-8ab^2 is 4ab^2(9a^2b^2-5ab-2)

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factor 36a^3b^4-20a^2b^3-8ab^2

factor

36 a^{3} b^{4} - 20 a^{2} b^{3} - 8 a b^{2}

4 a b^{2} (9 a^{2} b^{2} - 5 ab - 2)

Solution steps

36 a^{3} b^{4} - 20 a^{2} b^{3} - 8 a b^{2}

Apply exponent rule:

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

a^{3} b^{4} = a a^{2} b^{2} b^{2}, a^{2} b^{3} = aa b^{2} b

= 36 a a^{2} b^{2} b^{2} - 20 aa b^{2} b - 8 a b^{2}

Rewrite

- 8

2 \cdot 4

Rewrite

- 20

5 \cdot 4

= 9 \cdot 4 a a^{2} b^{2} b^{2} + 5 \cdot 4 aa b^{2} b + 2 \cdot 4 a b^{2}

Factor out common term

4 a b^{2}

= 4 a b^{2} (9 a^{2} b^{2} - 5 ab - 2)

\frac{1}{\frac{5}{7}}

\frac{6 - 3 i}{4 + 2 i}

2 x^{2} = 5 x

3 x^{2} = 5 x

(\frac{2 x y ^{5}}{x ^{3} y})^{- 3}

What is factor 36a^3b^4-20a^2b^3-8ab^2 ?
The solution to factor 36a^3b^4-20a^2b^3-8ab^2 is 4ab^2(9a^2b^2-5ab-2)