Basic Math Examples

$8 \cdot (- 7 y (3 - 6 y))$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$8 \cdot (- 7 y \cdot 3 - 7 y (- 6 y))$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $3$ by $- 7$ .

$8 \cdot (- 21 y - 7 y (- 6 y))$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$8 \cdot (- 21 y - 7 \cdot - 6 y \cdot y)$

$8 \cdot (- 21 y - 7 \cdot - 6 y \cdot y)$

$8 \cdot (- 21 y - 7 \cdot - 6 y \cdot y)$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $y$ .

$8 \cdot (- 21 y - 7 \cdot - 6 (y \cdot y))$

Step 2.1.2

Multiply $y$ by $y$ .

$8 \cdot (- 21 y - 7 \cdot - 6 y^{2})$

$8 \cdot (- 21 y - 7 \cdot - 6 y^{2})$

Step 2.2

Multiply $- 7$ by $- 6$ .

$8 \cdot (- 21 y + 42 y^{2})$

$8 \cdot (- 21 y + 42 y^{2})$

Step 3

Simplify by multiplying through.

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Step 3.1

Apply the distributive property.

$8 (- 21 y) + 8 (42 y^{2})$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $- 21$ by $8$ .

$- 168 y + 8 (42 y^{2})$

Step 3.2.2

Multiply $42$ by $8$ .

$- 168 y + 336 y^{2}$

$- 168 y + 336 y^{2}$

$- 168 y + 336 y^{2}$

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