Solve (8x ^ 3 + 6x ^ 2 + 5x + 2) - (8x ^ 3 - 7x ^ 2 + 4x + 2) | 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

$$(8x^{3}+6x^{2}+5x+2)-(8x^{3}-7x^{2}+4x+2)$$

Evaluate

$x\left(13x+1\right)$

Solution Steps

To find the opposite of $8x^{3}-7x^{2}+4x+2$, find the opposite of each term.

$$8x^{3}+6x^{2}+5x+2-8x^{3}+7x^{2}-4x-2$$

Combine $8x^{3}$ and $-8x^{3}$ to get $0$.

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

Combine $6x^{2}$ and $7x^{2}$ to get $13x^{2}$.

$$13x^{2}+5x+2-4x-2$$

Combine $5x$ and $-4x$ to get $x$.

$$13x^{2}+x+2-2$$

Subtract $2$ from $2$ to get $0$.

$$13x^{2}+x$$

Expand

$13x^{2}+x$

Solution Steps

To find the opposite of $8x^{3}-7x^{2}+4x+2$, find the opposite of each term.

$$8x^{3}+6x^{2}+5x+2-8x^{3}+7x^{2}-4x-2$$

Combine $8x^{3}$ and $-8x^{3}$ to get $0$.

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

Combine $6x^{2}$ and $7x^{2}$ to get $13x^{2}$.

$$13x^{2}+5x+2-4x-2$$

Combine $5x$ and $-4x$ to get $x$.

$$13x^{2}+x+2-2$$

Subtract $2$ from $2$ to get $0$.

$$13x^{2}+x$$