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

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

Evaluate

$2\left(x-1\right)\left(2x-1\right)$

Solution Steps

Use the distributive property to multiply $2$ by $x-1$.

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

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(x-1\right)^{2}$.

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

Use the distributive property to multiply $4$ by $x^{2}-2x+1$.

$$2x-2+4x^{2}-8x+4$$

Combine $2x$ and $-8x$ to get $-6x$.

$$-6x-2+4x^{2}+4$$

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

$$-6x+2+4x^{2}$$

Expand

$4x^{2}-6x+2$

Solution Steps

Use the distributive property to multiply $2$ by $x-1$.

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

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(x-1\right)^{2}$.

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

Use the distributive property to multiply $4$ by $x^{2}-2x+1$.

$$2x-2+4x^{2}-8x+4$$

Combine $2x$ and $-8x$ to get $-6x$.

$$-6x-2+4x^{2}+4$$

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

$$-6x+2+4x^{2}$$