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

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

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Answer 1 · 2018-03-24T20:45:02

$7 x^{2} - 3 x - 4$ $7x^2 - 3x - 4$

Explanation:

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

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

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

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

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

Add the terms in the groups up...
$5 x^{2} + 2 x^{2} = 7 x^{2}$ $5x^2 + 2x^2 = 7x^2$
$- 3 x$ $-3x$
$4 - 7 - 1 = - 4$ $4 - 7 - 1 = -4$

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

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

1 Answer

Explanation:

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How do you combine like terms in (5x^2+4)-(3x+7)+(2x^2-1)(5x2+4)−(3x+7)+(2x2−1)(5x^2+4)-(3x+7)+(2x^2-1)?

1 Answer

Explanation:

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