Solve (3x-2)((x)^(2)-1)-(4(x)^(3)-3x+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

$$(3x-2)( { x }^{ 2 } -1)-(4 { x }^{ 3 } -3x+1)$$

Evaluate

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

Solution Steps

Use the distributive property to multiply $3x-2$ by $x^{2}-1$.

$$3x^{3}-3x-2x^{2}+2-\left(4x^{3}-3x+1\right)$$

To find the opposite of $4x^{3}-3x+1$, find the opposite of each term.

$$3x^{3}-3x-2x^{2}+2-4x^{3}+3x-1$$

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

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

Combine $-3x$ and $3x$ to get $0$.

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

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

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

Expand

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

Solution Steps

Use the distributive property to multiply $3x-2$ by $x^{2}-1$.

$$3x^{3}-3x-2x^{2}+2-\left(4x^{3}-3x+1\right)$$

To find the opposite of $4x^{3}-3x+1$, find the opposite of each term.

$$3x^{3}-3x-2x^{2}+2-4x^{3}+3x-1$$

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

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

Combine $-3x$ and $3x$ to get $0$.

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

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

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