# How do you evaluate 5(3+12) + 42(23-4) ?

Jul 7, 2015

Distribute the $5$ and the $42$. Add and subtract from left to right.

#### Explanation:

Distribute the $5$ and the $42$.

Multiply $5$ times the terms in the first set of parentheses, and multiply $42$ times the terms in the second set of parentheses.

$5 \cdot 3 + 5 \cdot 12 + 42 \cdot 23 - 42 \cdot 4$ =

$15 + 60 + 966 - 168$ =

Add and subtract from left to right.

$1041 - 168 = 873$

Jul 7, 2015

Rather than distributing to remove the parentheses, you could do the parentheses first, then multiply, then add.

#### Explanation:

$5 \left(3 + 12\right) + 42 \left(23 - 4\right)$

$= 5 \left(15\right) + 42 \left(19\right)$

$= 75 + 798$

$= 873$