Solve (y ^ 3 - 3y ^ 2 + y + 2) - (y ^ 3 + 2y + 1) | 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

$$(y^{3}-3y^{2}+y+2)-(y^{3}+2y+1)$$

Evaluate

$1-y-3y^{2}$

Solution Steps

To find the opposite of $y^{3}+2y+1$, find the opposite of each term.

$$y^{3}-3y^{2}+y+2-y^{3}-2y-1$$

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

$$-3y^{2}+y+2-2y-1$$

Combine $y$ and $-2y$ to get $-y$.

$$-3y^{2}-y+2-1$$

Subtract $1$ from $2$ to get $1$.

$$-3y^{2}-y+1$$

Expand

$1-y-3y^{2}$

Solution Steps

To find the opposite of $y^{3}+2y+1$, find the opposite of each term.

$$y^{3}-3y^{2}+y+2-y^{3}-2y-1$$

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

$$-3y^{2}+y+2-2y-1$$

Combine $y$ and $-2y$ to get $-y$.

$$-3y^{2}-y+2-1$$

Subtract $1$ from $2$ to get $1$.

$$-3y^{2}-y+1$$