Basic Math Examples

$8 - 4 y \cdot (4 (2 - y))$

Step 1

Factor $4$ out of $8 - 4 y \cdot (4 (2 - y))$ .

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Step 1.1

Factor $4$ out of $8$ .

$4 (2) - 4 y \cdot (4 (2 - y))$

Step 1.2

Factor $4$ out of $- 4 y \cdot (4 (2 - y))$ .

$4 (2) + 4 (- y \cdot (4 (2 - y)))$

Step 1.3

Factor $4$ out of $4 (2) + 4 (- y \cdot (4 (2 - y)))$ .

$4 (2 - y \cdot (4 (2 - y)))$

$4 (2 - y \cdot (4 (2 - y)))$

Step 2

Apply the distributive property.

$4 (2 - y \cdot (4 \cdot 2 + 4 (- y)))$

Step 3

Multiply $4$ by $2$ .

$4 (2 - y \cdot (8 + 4 (- y)))$

Step 4

Multiply $- 1$ by $4$ .

$4 (2 - y (8 - 4 y))$

Step 5

Apply the distributive property.

$4 (2 - y \cdot 8 - y (- 4 y))$

Step 6

Multiply $8$ by $- 1$ .

$4 (2 - 8 y - y (- 4 y))$

Step 7

Rewrite using the commutative property of multiplication.

$4 (2 - 8 y - 1 \cdot - 4 y \cdot y)$

Step 8

Simplify each term.

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Step 8.1

Multiply $y$ by $y$ by adding the exponents.

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Step 8.1.1

Move $y$ .

$4 (2 - 8 y - 1 \cdot - 4 (y \cdot y))$

Step 8.1.2

Multiply $y$ by $y$ .

$4 (2 - 8 y - 1 \cdot - 4 y^{2})$

$4 (2 - 8 y - 1 \cdot - 4 y^{2})$

Step 8.2

Multiply $- 1$ by $- 4$ .

$4 (2 - 8 y + 4 y^{2})$

$4 (2 - 8 y + 4 y^{2})$

Step 9

Factor.

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Step 9.1

Factor $2$ out of $2 - 8 y + 4 y^{2}$ .

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Step 9.1.1

Factor $2$ out of $2$ .

$4 (2 (1) - 8 y + 4 y^{2})$

Step 9.1.2

Factor $2$ out of $- 8 y$ .

$4 (2 (1) + 2 (- 4 y) + 4 y^{2})$

Step 9.1.3

Factor $2$ out of $4 y^{2}$ .

$4 (2 (1) + 2 (- 4 y) + 2 (2 y^{2}))$

Step 9.1.4

Factor $2$ out of $2 (1) + 2 (- 4 y)$ .

$4 (2 (1 - 4 y) + 2 (2 y^{2}))$

Step 9.1.5

Factor $2$ out of $2 (1 - 4 y) + 2 (2 y^{2})$ .

$4 (2 (1 - 4 y + 2 y^{2}))$

$4 (2 (1 - 4 y + 2 y^{2}))$

Step 9.2

Remove unnecessary parentheses.

$4 \cdot 2 (1 - 4 y + 2 y^{2})$

$4 \cdot 2 (1 - 4 y + 2 y^{2})$

Step 10

Multiply $4$ by $2$ .

$8 (1 - 4 y + 2 y^{2})$

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