Solve (2)/(5)(x)^(2)(10-15\times-5\times2) | 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

$$\frac{ 2 }{ 5 } { x }^{ 2 } (10-15 \times -5 \times 2)$$

Evaluate

$64x^{2}$

Solution Steps

Multiply $15$ and $-5$ to get $-75$.

$$\frac{2}{5}x^{2}\left(10-\left(-75\times 2\right)\right)$$

Multiply $-75$ and $2$ to get $-150$.

$$\frac{2}{5}x^{2}\left(10-\left(-150\right)\right)$$

The opposite of $-150$ is $150$.

$$\frac{2}{5}x^{2}\left(10+150\right)$$

Add $10$ and $150$ to get $160$.

$$\frac{2}{5}x^{2}\times 160$$

Multiply $\frac{2}{5}$ and $160$ to get $64$.

$$64x^{2}$$

Expand

$64x^{2}$

Solution Steps

Multiply $15$ and $-5$ to get $-75$.

$$\frac{2}{5}x^{2}\left(10-\left(-75\times 2\right)\right)$$

Multiply $-75$ and $2$ to get $-150$.

$$\frac{2}{5}x^{2}\left(10-\left(-150\right)\right)$$

The opposite of $-150$ is $150$.

$$\frac{2}{5}x^{2}\left(10+150\right)$$

Add $10$ and $150$ to get $160$.

$$\frac{2}{5}x^{2}\times 160$$

Multiply $\frac{2}{5}$ and $160$ to get $64$.

$$64x^{2}$$