What is factor a^2*b+2a*b^2+b^3 ?

The solution to factor a^2*b+2a*b^2+b^3 is b(a+b)^2

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factor a^2b+2ab^2+b^3

factor

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

b (a + b)^{2}

Solution steps

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

Factor out common term

b : b (a^{2} + 2 ab + b^{2})

= b (a^{2} + 2 ab + b^{2})

Factor

a^{2} + 2 ab + b^{2} : (a + b) (a + b)

= b (a + b) (a + b)

Apply exponent rule:

aa = a^{2}

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

= b (a + b)^{2}

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What is factor a^2*b+2a*b^2+b^3 ?
The solution to factor a^2*b+2a*b^2+b^3 is b(a+b)^2