Algebra Examples

$(5 x - x y^{2}) - (4 x y^{2} - 2 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x - x y^{2} - (4 x y^{2}) - (- 2 x)$

Step 1.2

Multiply $4$ by $- 1$ .

$5 x - x y^{2} - 4 (x y^{2}) - (- 2 x)$

Step 1.3

Multiply $- 2$ by $- 1$ .

$5 x - x y^{2} - 4 x y^{2} + 2 x$

$5 x - x y^{2} - 4 x y^{2} + 2 x$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 x$ and $2 x$ .

$- x y^{2} - 4 x y^{2} + 7 x$

Step 2.2

Subtract $4 x y^{2}$ from $- x y^{2}$ .

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$