Misael Sweeney
2022-02-02
Answered

How do you combine like terms in $(5{x}^{2}+4)-(3x+7)+(2{x}^{2}-1)$ ?

You can still ask an expert for help

Reagan Blair

Answered 2022-02-03
Author has **16** answers

Like terms are defined as terms with the same variables that are raised to the same power.

For example, the terms ax and $b{x}^{2}$ are NOT like terms because the coefficients a and b have variables (x and $x}^{2$, respectively) that are not raised to the same power.

In the expression $(5{x}^{2}+4)-(3x+7)+(2{x}^{2}-1)$, the like terms are grouped as follows:

$5{x}^{2}\text{and}\text{}2{x}^{2}$

-3x (this is negative because the subtraction sign is "distributed" to the terms inside of the parentheses)

4, -7, -1 (the reason for why it's -7 is the same reason for why -3x is negative)

Add the terms in the groups up...

$5{x}^{2}+2{x}^{2}=7{x}^{2}$

$-3x$

$4-7-1=-4$

Now you have the simplified expression: $7{x}^{2}-3x-4$

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