Solve (3(x)^(2)+2x-3)-((x)^(2)+3x-4) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(3 { x }^{ 2 } +2x-3)-( { x }^{ 2 } +3x-4)$$

Evaluate

$2x^{2}-x+1$

Solution Steps

To find the opposite of $x^{2}+3x-4$, find the opposite of each term.

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

Combine $3x^{2}$ and $-x^{2}$ to get $2x^{2}$.

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

Combine $2x$ and $-3x$ to get $-x$.

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

Add $-3$ and $4$ to get $1$.

$$2x^{2}-x+1$$

Expand

$2x^{2}-x+1$

Solution Steps

To find the opposite of $x^{2}+3x-4$, find the opposite of each term.

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

Combine $3x^{2}$ and $-x^{2}$ to get $2x^{2}$.

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

Combine $2x$ and $-3x$ to get $-x$.

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

Add $-3$ and $4$ to get $1$.

$$2x^{2}-x+1$$