Expand the expression (a+1)(a-2)+3b(a+1)

 Exercise

$\left(a+1\right)\left(a-2\right)+3b\left(a+1\right)$

 

Multiply the single term $a-2$ by each term of the polynomial $\left(a+1\right)$

$a\left(a-2\right)+a-2+3b\left(a+1\right)$

 

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

$a\cdot a-2a+a-2+3b\left(a+1\right)$

 

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

$a^2-2a+a-2+3b\left(a+1\right)$

 

Multiply the single term $3b$ by each term of the polynomial $\left(a+1\right)$

$a^2-2a+a-2+3ab+3b$

 

Combining like terms $-2a$ and $a$

$a^2-a-2+3ab+3b$

$a^2-a-2+3ab+3b$

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