What is factor 16a^5b^3+32a^4b ?

The solution to factor 16a^5b^3+32a^4b is 16a^4b(ab^2+2)

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factor 16a^5b^3+32a^4b

factor

16 a^{5} b^{3} + 32 a^{4} b

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

Solution steps

16 a^{5} b^{3} + 32 a^{4} b

Apply exponent rule:

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

a^{5} b^{3} = a^{4} ab b^{2}

= 16 a^{4} ab b^{2} + 32 a^{4} b

Rewrite

32

2 \cdot 16

= 16 a^{4} ab b^{2} + 2 \cdot 16 a^{4} b

Factor out common term

16 a^{4} b

= 16 a^{4} b (a b^{2} + 2)

y^{- 7}

x^{5} y + x y^{3}

14 x^{2} y^{2} + 5 x y - 24

7 \leq x \leq 9

What is factor 16a^5b^3+32a^4b ?
The solution to factor 16a^5b^3+32a^4b is 16a^4b(ab^2+2)