Solve 5x\timesx-11x+2-(10x\timesx-4x+3) | 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

$$5x \times x-11x+2-(10x \times x-4x+3)$$

Evaluate

$-5x^{2}-7x-1$

Solution Steps

Multiply $x$ and $x$ to get $x^{2}$.

$$5x^{2}-11x+2-\left(10xx-4x+3\right)$$

Multiply $x$ and $x$ to get $x^{2}$.

$$5x^{2}-11x+2-\left(10x^{2}-4x+3\right)$$

To find the opposite of $10x^{2}-4x+3$, find the opposite of each term.

$$5x^{2}-11x+2-10x^{2}-\left(-4x\right)-3$$

The opposite of $-4x$ is $4x$.

$$5x^{2}-11x+2-10x^{2}+4x-3$$

Combine $5x^{2}$ and $-10x^{2}$ to get $-5x^{2}$.

$$-5x^{2}-11x+2+4x-3$$

Combine $-11x$ and $4x$ to get $-7x$.

$$-5x^{2}-7x+2-3$$

Subtract $3$ from $2$ to get $-1$.

$$-5x^{2}-7x-1$$

Expand

$-5x^{2}-7x-1$

Solution Steps

Multiply $x$ and $x$ to get $x^{2}$.

$$5x^{2}-11x+2-\left(10xx-4x+3\right)$$

Multiply $x$ and $x$ to get $x^{2}$.

$$5x^{2}-11x+2-\left(10x^{2}-4x+3\right)$$

To find the opposite of $10x^{2}-4x+3$, find the opposite of each term.

$$5x^{2}-11x+2-10x^{2}-\left(-4x\right)-3$$

The opposite of $-4x$ is $4x$.

$$5x^{2}-11x+2-10x^{2}+4x-3$$

Combine $5x^{2}$ and $-10x^{2}$ to get $-5x^{2}$.

$$-5x^{2}-11x+2+4x-3$$

Combine $-11x$ and $4x$ to get $-7x$.

$$-5x^{2}-7x+2-3$$

Subtract $3$ from $2$ to get $-1$.

$$-5x^{2}-7x-1$$