# How do you add (49x-2)+(4x^2+x+7)?

Mar 19, 2018

$4 {x}^{2} + 50 x + 5$

#### Explanation:

(49x−2)+(4x2+x+7)

1) Clear the parentheses by distributing the coefficients.

In this case, both parentheses have coefficients of $1$, which are not written because they are understood.

After you have cleared the parentheses by multiplying all the terms inside each set of parentheses by $1$, you get this:
$49 x - 2 + 4 {x}^{2} + x + 7$

2) Group like terms
4x^2    + 49x + x       -2 + 7

3) Combine like terms
$4 {x}^{2} + 50 x + 5$ $\leftarrow$ answer