Expand the expression (6w+5)(2w+3)

 Exercise

$\left(6w+5\right)\left(2w+3\right)$

 

Multiply the single term $2w+3$ by each term of the polynomial $\left(6w+5\right)$

$6w\left(2w+3\right)+5\left(2w+3\right)$

 

Multiply the single term $6w$ by each term of the polynomial $\left(2w+3\right)$

$12w\cdot w+18w+5\left(2w+3\right)$

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

$12w^2+18w+5\left(2w+3\right)$

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Multiply the single term $5$ by each term of the polynomial $\left(2w+3\right)$

$12w^2+18w+10w+15$

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Combining like terms $18w$ and $10w$

$12w^2+28w+15$

$12w^2+28w+15$

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