Expand the expression (-n+4)(4n+1)

 Exercise

$\left(-n+4\right)\left(4n+1\right)$

 

Multiply the single term $4n+1$ by each term of the polynomial $\left(-n+4\right)$

$-n\left(4n+1\right)+4\left(4n+1\right)$

 

Multiply the single term $-n$ by each term of the polynomial $\left(4n+1\right)$

$-4n\cdot n-n+4\left(4n+1\right)$

 

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

$-4n^2-n+4\left(4n+1\right)$

 

Multiply the single term $4$ by each term of the polynomial $\left(4n+1\right)$

$-4n^2-n+16n+4$

 

Combining like terms $-n$ and $16n$

$-4n^2+15n+4$

$-4n^2+15n+4$

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