Solve the product (3y+2)(3y+6)

 Exercise

$\left(3y+2\right)\left(3y+6\right)$

 

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

$3y\left(3y+6\right)+2\left(3y+6\right)$

 

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

$9y\cdot y+18y+2\left(3y+6\right)$

 

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

$9y^2+18y+2\left(3y+6\right)$

 

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

$9y^2+18y+6y+12$

 

Combining like terms $18y$ and $6y$

$9y^2+24y+12$

$9y^2+24y+12$

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