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Popular >

factor 6a^3+32ab^2

Solution

factor

6 a^{3} + 32 a b^{2}

Solution

2 a (3 a^{2} + 16 b^{2})

Solution steps

6 a^{3} + 32 a b^{2}

Apply exponent rule:

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

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

= 6 a a^{2} + 32 a b^{2}

Rewrite

32

as

16 \cdot 2

Rewrite

6

as

3 \cdot 2

= 3 \cdot 2 a a^{2} + 16 \cdot 2 a b^{2}

Factor out common term

2 a

= 2 a (3 a^{2} + 16 b^{2})

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Frequently Asked Questions (FAQ)

What is factor 6a^3+32ab^2 ?
The solution to factor 6a^3+32ab^2 is 2a(3a^2+16b^2)