Expand the expression (5g+3)(g+8)

 Exercise

$\:\left(5g+3\right)\left(g+8\right)$

 

Multiply the single term $g+8$ by each term of the polynomial $\left(5g+3\right)$

$5g\left(g+8\right)+3\left(g+8\right)$

 

Multiply the single term $5g$ by each term of the polynomial $\left(g+8\right)$

$5g\cdot g+40g+3\left(g+8\right)$

 

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

$5g^2+40g+3\left(g+8\right)$

 

Multiply the single term $3$ by each term of the polynomial $\left(g+8\right)$

$5g^2+40g+3g+24$

 

Combining like terms $40g$ and $3g$

$5g^2+43g+24$

$5g^2+43g+24$

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