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

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

Evaluate

$14x^{2}-12x+2$

Solution Steps

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

$$8x^{2}+2+3x\left(2x-4\right)$$

Use the distributive property to multiply $3x$ by $2x-4$.

$$8x^{2}+2+6x^{2}-12x$$

Combine $8x^{2}$ and $6x^{2}$ to get $14x^{2}$.

$$14x^{2}+2-12x$$

Expand

$14x^{2}-12x+2$

Solution Steps

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

$$8x^{2}+2+3x\left(2x-4\right)$$

Use the distributive property to multiply $3x$ by $2x-4$.

$$8x^{2}+2+6x^{2}-12x$$

Combine $8x^{2}$ and $6x^{2}$ to get $14x^{2}$.

$$14x^{2}+2-12x$$