Solve the product (2y+9)(2y-7)

 Exercise

$\left(2y+9\right)\left(2y-7\right)$

 

Multiply the single term $2y-7$ by each term of the polynomial $\left(2y+9\right)$

$2y\left(2y-7\right)+9\left(2y-7\right)$

 

Multiply the single term $2y$ by each term of the polynomial $\left(2y-7\right)$

$4y\cdot y-14y+9\left(2y-7\right)$

 

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

$4y^2-14y+9\left(2y-7\right)$

 

Multiply the single term $9$ by each term of the polynomial $\left(2y-7\right)$

$4y^2-14y+18y-63$

 

Combining like terms $-14y$ and $18y$

$4y^2+4y-63$

$4y^2+4y-63$

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