What is factor 24a^3b^2+56a^2b-16a ?

The solution to factor 24a^3b^2+56a^2b-16a is 8a(3a^2b^2+7ab-2)

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factor 24a^3b^2+56a^2b-16a

factor

24 a^{3} b^{2} + 56 a^{2} b - 16 a

8 a (3 a^{2} b^{2} + 7 ab - 2)

Solution steps

24 a^{3} b^{2} + 56 a^{2} b - 16 a

Apply exponent rule:

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

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

= 24 a a^{2} + 56 aa - 16 a

Rewrite

- 16

2 \cdot 8

Rewrite

56

7 \cdot 8

= 3 \cdot 8 a a^{2} + 7 \cdot 8 aa + 2 \cdot 8 a

Factor out common term

8 a

= 8 a (3 a^{2} b^{2} + 7 ab - 2)

\frac{6 ^{5}}{6 ^{- 2}}

7 (3 + 3 x) = 3 (1 + 6 x)

27 x^{2} + 12 x - 7 = 0

\frac{3}{5} + \frac{5}{3}

- x^{2} + 7 x - 6

What is factor 24a^3b^2+56a^2b-16a ?
The solution to factor 24a^3b^2+56a^2b-16a is 8a(3a^2b^2+7ab-2)