Solve (2x - 3) ^ 3 + 2x - 3 - x | 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

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

Evaluate

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

Solution Steps

Use binomial theorem $\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3}$ to expand $\left(2x-3\right)^{3}$.

$$8x^{3}-36x^{2}+54x-27+2x-3-x$$

Combine $54x$ and $2x$ to get $56x$.

$$8x^{3}-36x^{2}+56x-27-3-x$$

Subtract $3$ from $-27$ to get $-30$.

$$8x^{3}-36x^{2}+56x-30-x$$

Combine $56x$ and $-x$ to get $55x$.

$$8x^{3}-36x^{2}+55x-30$$

Expand

$8x^{3}-36x^{2}+55x-30$

Solution Steps

Use binomial theorem $\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3}$ to expand $\left(2x-3\right)^{3}$.

$$8x^{3}-36x^{2}+54x-27+2x-3-x$$

Combine $54x$ and $2x$ to get $56x$.

$$8x^{3}-36x^{2}+56x-27-3-x$$

Subtract $3$ from $-27$ to get $-30$.

$$8x^{3}-36x^{2}+56x-30-x$$

Combine $56x$ and $-x$ to get $55x$.

$$8x^{3}-36x^{2}+55x-30$$