What is factor 2a^4b-4ab^4-6a^4b^4 ?

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

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factor 2a^4b-4ab^4-6a^4b^4

factor

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

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

Solution steps

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

Apply exponent rule:

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

a^{4} b = a a^{3} b, a b^{4} = ab b^{3}, a^{4} b^{4} = a a^{3} b b^{3}

= 2 a a^{3} b - 4 ab b^{3} - 6 a a^{3} b b^{3}

Rewrite

- 6

3 \cdot 2

Rewrite

- 4

2 \cdot 2

= 2 a a^{3} b + 2 \cdot 2 ab b^{3} + 3 \cdot 2 a a^{3} b b^{3}

Factor out common term

2 ab

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

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

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

(2 a^{2} + 5 a + 3) - (a^{2} - 3 a - 4)

2^{- 1} - 2^{1}

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