What is factor 12a^5b^2-36a^4b^3-6a^2b^2 ?

The solution to factor 12a^5b^2-36a^4b^3-6a^2b^2 is 6a^2b^2(2a^3-6a^2b-1)

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factor 12a^5b^2-36a^4b^3-6a^2b^2

factor

12 a^{5} b^{2} - 36 a^{4} b^{3} - 6 a^{2} b^{2}

6 a^{2} b^{2} (2 a^{3} - 6 a^{2} b - 1)

Solution steps

12 a^{5} b^{2} - 36 a^{4} b^{3} - 6 a^{2} b^{2}

Apply exponent rule:

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

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

= 12 a^{2} a^{3} b^{2} - 36 a^{2} a^{2} b^{2} b - 6 a^{2} b^{2}

Rewrite

- 36

6 \cdot 6

Rewrite

12

2 \cdot 6

= 2 \cdot 6 a^{2} a^{3} b^{2} + 6 \cdot 6 a^{2} a^{2} b^{2} b - 6 a^{2} b^{2}

Factor out common term

6 a^{2} b^{2}

= 6 a^{2} b^{2} (2 a^{3} - 6 a^{2} b - 1)

y^{2} - y

\frac{2}{3} = \frac{z}{15}

3 x^{2} + 9 x + 4 = 0

10 m^{2} - 87 m - 27

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

What is factor 12a^5b^2-36a^4b^3-6a^2b^2 ?
The solution to factor 12a^5b^2-36a^4b^3-6a^2b^2 is 6a^2b^2(2a^3-6a^2b-1)