Expand the expression (a^2+2ab^3b^2)ab

 Exercise

$\left(a^2+2ab^3+b^2\right).\left(ab\right)$

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Multiply the single term $ab$ by each term of the polynomial $\left(a^2+2ab^3+b^2\right)$

$a^2ab+2ab^3ab+b^2ab$

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When multiplying exponents with same base you can add the exponents: $a^2ab$

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

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When multiplying two powers that have the same base ($a$), you can add the exponents

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

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When multiplying exponents with same base you can add the exponents: $2a^2b^3b$

$a^{3}b+2a^2b^{4}+b^2ab$

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When multiplying exponents with same base you can add the exponents: $b^2ab$

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

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

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