Expand the expression (2y+5)(3y+7)

 Exercise

$\left(2y+5\right)\left(3y+7\right)$

 

Multiply the single term $3y+7$ by each term of the polynomial $\left(2y+5\right)$

$2y\left(3y+7\right)+5\left(3y+7\right)$

 

Multiply the single term $2y$ by each term of the polynomial $\left(3y+7\right)$

$6y\cdot y+14y+5\left(3y+7\right)$

 

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

$6y^2+14y+5\left(3y+7\right)$

 

Multiply the single term $5$ by each term of the polynomial $\left(3y+7\right)$

$6y^2+14y+15y+35$

 

Combining like terms $14y$ and $15y$

$6y^2+29y+35$

$6y^2+29y+35$

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