Solve (x ^ 3 + x ^ 2 - x + 1) - (2x + 3) | 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

$$(x^{3}+x^{2}-x+1)-(2x+3)$$

Evaluate

$\left(x+2\right)\left(x^{2}-x-1\right)$

Solution Steps

To find the opposite of $2x+3$, find the opposite of each term.

$$x^{3}+x^{2}-x+1-2x-3$$

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

$$x^{3}+x^{2}-3x+1-3$$

Subtract $3$ from $1$ to get $-2$.

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

Expand

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

Solution Steps

To find the opposite of $2x+3$, find the opposite of each term.

$$x^{3}+x^{2}-x+1-2x-3$$

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

$$x^{3}+x^{2}-3x+1-3$$

Subtract $3$ from $1$ to get $-2$.

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