Expand the expression 2a(3x+y)+8(3x+y)-10a(3x+y)

 Exercise

$2a\left(3x+y\right)+8\left(3x+y\right)-10a\left(3x+y\right)$

 

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

$6xa+2ya+8\left(3x+y\right)-10a\left(3x+y\right)$

 

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

$6xa+2ya+24x+8y-10a\left(3x+y\right)$

 

Multiply the single term $-10a$ by each term of the polynomial $\left(3x+y\right)$

$6xa+2ya+24x+8y-30xa-10ya$

 

Combining like terms $6xa$ and $-30xa$

$-24xa+2ya+24x+8y-10ya$

 

Combining like terms $2ya$ and $-10ya$

$-24xa-8ya+24x+8y$

$-24xa-8ya+24x+8y$

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