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

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

Evaluate

$u^{7}-4u^{6}+4u^{2}+u+6$

Solution Steps

To find the opposite of $u^{6}-u-4$, find the opposite of each term.

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

Combine $-3u^{6}$ and $-u^{6}$ to get $-4u^{6}$.

$$u^{7}-4u^{6}+4u^{2}+2+u+4$$

Add $2$ and $4$ to get $6$.

$$u^{7}-4u^{6}+4u^{2}+6+u$$

Expand

$u^{7}-4u^{6}+4u^{2}+u+6$

Solution Steps

To find the opposite of $u^{6}-u-4$, find the opposite of each term.

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

Combine $-3u^{6}$ and $-u^{6}$ to get $-4u^{6}$.

$$u^{7}-4u^{6}+4u^{2}+2+u+4$$

Add $2$ and $4$ to get $6$.

$$u^{7}-4u^{6}+4u^{2}+6+u$$