Solve (t ^ 4 - 3t ^ 3 + 2t + 6) - (t ^ 4 - 3t ^ 3 - 6t + 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

$$(t^{4}-3t^{3}+2t+6)-(t^{4}-3t^{3}-6t+2)$$

Evaluate

$8t+4$

Solution Steps

To find the opposite of $t^{4}-3t^{3}-6t+2$, find the opposite of each term.

$$t^{4}-3t^{3}+2t+6-t^{4}+3t^{3}+6t-2$$

Combine $t^{4}$ and $-t^{4}$ to get $0$.

$$-3t^{3}+2t+6+3t^{3}+6t-2$$

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

$$2t+6+6t-2$$

Combine $2t$ and $6t$ to get $8t$.

$$8t+6-2$$

Subtract $2$ from $6$ to get $4$.

$$8t+4$$

Expand

$8t+4$

Solution Steps

To find the opposite of $t^{4}-3t^{3}-6t+2$, find the opposite of each term.

$$t^{4}-3t^{3}+2t+6-t^{4}+3t^{3}+6t-2$$

Combine $t^{4}$ and $-t^{4}$ to get $0$.

$$-3t^{3}+2t+6+3t^{3}+6t-2$$

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

$$2t+6+6t-2$$

Combine $2t$ and $6t$ to get $8t$.

$$8t+6-2$$

Subtract $2$ from $6$ to get $4$.

$$8t+4$$