Solve (4x ^ 3 + 2x ^ 2 - 3x + 7) - (2x ^ 3 - 5x ^ 2 + x - 6) | 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

$$(4x^{3}+2x^{2}-3x+7)-(2x^{3}-5x^{2}+x-6)$$

Evaluate

$2x^{3}+7x^{2}-4x+13$

Solution Steps

To find the opposite of $2x^{3}-5x^{2}+x-6$, find the opposite of each term.

$$4x^{3}+2x^{2}-3x+7-2x^{3}+5x^{2}-x+6$$

Combine $4x^{3}$ and $-2x^{3}$ to get $2x^{3}$.

$$2x^{3}+2x^{2}-3x+7+5x^{2}-x+6$$

Combine $2x^{2}$ and $5x^{2}$ to get $7x^{2}$.

$$2x^{3}+7x^{2}-3x+7-x+6$$

Combine $-3x$ and $-x$ to get $-4x$.

$$2x^{3}+7x^{2}-4x+7+6$$

Add $7$ and $6$ to get $13$.

$$2x^{3}+7x^{2}-4x+13$$

Expand

$2x^{3}+7x^{2}-4x+13$

Solution Steps

To find the opposite of $2x^{3}-5x^{2}+x-6$, find the opposite of each term.

$$4x^{3}+2x^{2}-3x+7-2x^{3}+5x^{2}-x+6$$

Combine $4x^{3}$ and $-2x^{3}$ to get $2x^{3}$.

$$2x^{3}+2x^{2}-3x+7+5x^{2}-x+6$$

Combine $2x^{2}$ and $5x^{2}$ to get $7x^{2}$.

$$2x^{3}+7x^{2}-3x+7-x+6$$

Combine $-3x$ and $-x$ to get $-4x$.

$$2x^{3}+7x^{2}-4x+7+6$$

Add $7$ and $6$ to get $13$.

$$2x^{3}+7x^{2}-4x+13$$