Expand the expression (y+3)(4y-2)

 Exercise

$\left(y+3\right)\left(4y-2\right)$

 

Multiply the single term $4y-2$ by each term of the polynomial $\left(y+3\right)$

$y\left(4y-2\right)+3\left(4y-2\right)$

 

Multiply the single term $y$ by each term of the polynomial $\left(4y-2\right)$

$4y\cdot y-2y+3\left(4y-2\right)$

 

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

$4y^2-2y+3\left(4y-2\right)$

 

Multiply the single term $3$ by each term of the polynomial $\left(4y-2\right)$

$4y^2-2y+12y-6$

 

Combining like terms $-2y$ and $12y$

$4y^2+10y-6$

$4y^2+10y-6$

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