Solve 4(-4x^ 2 +5x)-(3x-2x^ 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

$$4(-4x^{2}+5x)-(3x-2x^{2}))$$

Evaluate

$x\left(17-14x\right)$

Solution Steps

Use the distributive property to multiply $4$ by $-4x^{2}+5x$.

$$-16x^{2}+20x-\left(3x-2x^{2}\right)$$

To find the opposite of $3x-2x^{2}$, find the opposite of each term.

$$-16x^{2}+20x-3x+2x^{2}$$

Combine $20x$ and $-3x$ to get $17x$.

$$-16x^{2}+17x+2x^{2}$$

Combine $-16x^{2}$ and $2x^{2}$ to get $-14x^{2}$.

$$-14x^{2}+17x$$

Expand

$17x-14x^{2}$

Solution Steps

Use the distributive property to multiply $4$ by $-4x^{2}+5x$.

$$-16x^{2}+20x-\left(3x-2x^{2}\right)$$

To find the opposite of $3x-2x^{2}$, find the opposite of each term.

$$-16x^{2}+20x-3x+2x^{2}$$

Combine $20x$ and $-3x$ to get $17x$.

$$-16x^{2}+17x+2x^{2}$$

Combine $-16x^{2}$ and $2x^{2}$ to get $-14x^{2}$.

$$-14x^{2}+17x$$