What is factor+4a^2b^2+2a^2b-10ab^2 ?

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

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factor+4a^2b^2+2a^2b-10ab^2

factor

+ 4 a^{2} b^{2} + 2 a^{2} b - 10 a b^{2}

2 ab (2 ab + a - 5 b)

Solution steps

4 a^{2} b^{2} + 2 a^{2} b - 10 a b^{2}

Apply exponent rule:

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

a^{2} b^{2} = aabb, a^{2} b = aab, a b^{2} = abb

= 4 aabb + 2 aab - 10 abb

Rewrite

- 10

5 \cdot 2

Rewrite

4

2 \cdot 2

= 2 \cdot 2 aabb + 2 aab + 5 \cdot 2 abb

Factor out common term

2 ab

= 2 ab (2 ab + a - 5 b)

2 \times 2 x^{2}

x \times (- 3)

x \times 5 x

- x - 9 x

(1 + 5 i) (4 - 2 i)

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