What is factor 6a^4b-10a^3b^2-6a^2b^3 ?

The solution to factor 6a^4b-10a^3b^2-6a^2b^3 is 2a^2b(3a^2-5ab-3b^2)

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factor 6a^4b-10a^3b^2-6a^2b^3

factor

6 a^{4} b - 10 a^{3} b^{2} - 6 a^{2} b^{3}

2 a^{2} b (3 a^{2} - 5 ab - 3 b^{2})

Solution steps

6 a^{4} b - 10 a^{3} b^{2} - 6 a^{2} b^{3}

Apply exponent rule:

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

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

= 6 a^{2} a^{2} b - 10 a^{2} abb - 6 a^{2} b b^{2}

Rewrite

- 6

3 \cdot 2

Rewrite

- 10

5 \cdot 2

= 3 \cdot 2 a^{2} a^{2} b + 5 \cdot 2 a^{2} abb + 3 \cdot 2 a^{2} b b^{2}

Factor out common term

2 a^{2} b

= 2 a^{2} b (3 a^{2} - 5 ab - 3 b^{2})

2 s + 5 \geq 49

3 + 4 y < 12

\frac{1}{6} \cdot 24

x^{2} + 7 = 0

x^{2} - 23 x + 76 = 0

What is factor 6a^4b-10a^3b^2-6a^2b^3 ?
The solution to factor 6a^4b-10a^3b^2-6a^2b^3 is 2a^2b(3a^2-5ab-3b^2)