Pre-Algebra Examples

$- 4 (- 4 x y + 5 y^{3}) + 6 (- 5 x y - 9 y^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 4 (- 4 x y) - 4 (5 y^{3}) + 6 (- 5 x y - 9 y^{3})$

Step 1.2

Multiply $- 4$ by $- 4$ .

$16 (x y) - 4 (5 y^{3}) + 6 (- 5 x y - 9 y^{3})$

Step 1.3

Multiply $5$ by $- 4$ .

$16 (x y) - 20 y^{3} + 6 (- 5 x y - 9 y^{3})$

Step 1.4

Apply the distributive property.

$16 x y - 20 y^{3} + 6 (- 5 x y) + 6 (- 9 y^{3})$

Step 1.5

Multiply $- 5$ by $6$ .

$16 x y - 20 y^{3} - 30 (x y) + 6 (- 9 y^{3})$

Step 1.6

Multiply $- 9$ by $6$ .

$16 x y - 20 y^{3} - 30 x y - 54 y^{3}$

$16 x y - 20 y^{3} - 30 x y - 54 y^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $30 x y$ from $16 x y$ .

$- 20 y^{3} - 14 x y - 54 y^{3}$

Step 2.2

Subtract $54 y^{3}$ from $- 20 y^{3}$ .

$- 74 y^{3} - 14 x y$

$- 74 y^{3} - 14 x y$

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