Solve (9x^ 3 -4x^ 2 -7x+8)-(8x^ 3 -9x^ 2 +4x-5 | 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

$$(9x^{3}-4x^{2}-7x+8)-(8x^{3}-9x^{2}+4x-5$$

Evaluate

$x^{3}+5x^{2}-11x+13$

Solution Steps

To find the opposite of $8x^{3}-9x^{2}+4x-5$, find the opposite of each term.

$$9x^{3}-4x^{2}-7x+8-8x^{3}+9x^{2}-4x+5$$

Combine $9x^{3}$ and $-8x^{3}$ to get $x^{3}$.

$$x^{3}-4x^{2}-7x+8+9x^{2}-4x+5$$

Combine $-4x^{2}$ and $9x^{2}$ to get $5x^{2}$.

$$x^{3}+5x^{2}-7x+8-4x+5$$

Combine $-7x$ and $-4x$ to get $-11x$.

$$x^{3}+5x^{2}-11x+8+5$$

Add $8$ and $5$ to get $13$.

$$x^{3}+5x^{2}-11x+13$$

Expand

$x^{3}+5x^{2}-11x+13$

Solution Steps

To find the opposite of $8x^{3}-9x^{2}+4x-5$, find the opposite of each term.

$$9x^{3}-4x^{2}-7x+8-8x^{3}+9x^{2}-4x+5$$

Combine $9x^{3}$ and $-8x^{3}$ to get $x^{3}$.

$$x^{3}-4x^{2}-7x+8+9x^{2}-4x+5$$

Combine $-4x^{2}$ and $9x^{2}$ to get $5x^{2}$.

$$x^{3}+5x^{2}-7x+8-4x+5$$

Combine $-7x$ and $-4x$ to get $-11x$.

$$x^{3}+5x^{2}-11x+8+5$$

Add $8$ and $5$ to get $13$.

$$x^{3}+5x^{2}-11x+13$$