Expand the expression (3m+2)(8m-5)

 Exercise

$\left(3m+2\right)\cdot\left(8m-5\right)$

 

Multiply the single term $8m-5$ by each term of the polynomial $\left(3m+2\right)$

$3m\left(8m-5\right)+2\left(8m-5\right)$

 

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

$24m\cdot m-15m+2\left(8m-5\right)$

 

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

$24m^2-15m+2\left(8m-5\right)$

 

Multiply the single term $2$ by each term of the polynomial $\left(8m-5\right)$

$24m^2-15m+16m-10$

 

Combining like terms $-15m$ and $16m$

$24m^2+m-10$

$24m^2+m-10$

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