Solve the product (y-16)(y+12)

 Exercise

$\left(y-16\right)\left(y+12\right)$

 

Multiply the single term $y+12$ by each term of the polynomial $\left(y-16\right)$

$y\left(y+12\right)-16\left(y+12\right)$

 

Multiply the single term $y$ by each term of the polynomial $\left(y+12\right)$

$y\cdot y+12y-16\left(y+12\right)$

 

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

$y^2+12y-16\left(y+12\right)$

 

Multiply the single term $-16$ by each term of the polynomial $\left(y+12\right)$

$y^2+12y-16y-192$

 

Combining like terms $12y$ and $-16y$

$y^2-4y-192$

$y^2-4y-192$

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