What is factor a^3+2ab^2-4b^3-2a^2b ?

The solution to factor a^3+2ab^2-4b^3-2a^2b is (a^2+2b^2)(a-2b)

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factor a^3+2ab^2-4b^3-2a^2b

factor

a^{3} + 2 a b^{2} - 4 b^{3} - 2 a^{2} b

(a^{2} + 2 b^{2}) (a - 2 b)

Solution steps

a^{3} + 2 a b^{2} - 4 b^{3} - 2 a^{2} b

= (a^{3} + 2 a b^{2}) + (- 2 a^{2} b - 4 b^{3})

Factor out

a

from

a^{3} + 2 a b^{2} : a (a^{2} + 2 b^{2})

Factor out

- 2 b

from

- 2 a^{2} b - 4 b^{3} : - 2 b (a^{2} + 2 b^{2})

= a (a^{2} + 2 b^{2}) - 2 b (a^{2} + 2 b^{2})

Factor out common term

a^{2} + 2 b^{2}

= (a^{2} + 2 b^{2}) (a - 2 b)

(5 x y^{5})^{2} (y^{3})^{4}

1^{- 1}

36 \cdot 9^{\frac{3}{2}}

- 7 = - (- 4 + 3 n) + 2 (n - 2)

7 x - 2 (x - 1) \leq 2 (1 - 3 x)

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