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Popular >

factor 4a^3+36ab^2

Solution

factor

4 a^{3} + 36 a b^{2}

Solution

4 a (a^{2} + 9 b^{2})

Solution steps

4 a^{3} + 36 a b^{2}

Apply exponent rule:

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

a^{3} = a a^{2}

= 4 a a^{2} + 36 a b^{2}

Rewrite

36

as

9 \cdot 4

= 4 a a^{2} + 9 \cdot 4 a b^{2}

Factor out common term

4 a

= 4 a (a^{2} + 9 b^{2})

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Frequently Asked Questions (FAQ)

What is factor 4a^3+36ab^2 ?
The solution to factor 4a^3+36ab^2 is 4a(a^2+9b^2)