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)

\frac{36 x ^{9} y ^{4}}{4 x ^{7} y ^{3}}

202

18 r^{2} + 84 r + 80

\frac{2 π}{\frac{2 π}{365}}

x^{2} - 8 x + 16 = 81

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)