Algebra Examples

$6 y (4 y \cdot 2 - 9 y - 7)$

Step 1

Simplify terms.

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Step 1.1

Multiply $2$ by $4$ .

$6 y (8 y - 9 y - 7)$

Step 1.2

Subtract $9 y$ from $8 y$ .

$6 y (- y - 7)$

Step 1.3

Apply the distributive property.

$6 y (- y) + 6 y \cdot - 7$

Step 1.4

Simplify the expression.

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Step 1.4.1

Rewrite using the commutative property of multiplication.

$6 \cdot - 1 y \cdot y + 6 y \cdot - 7$

Step 1.4.2

Multiply $- 7$ by $6$ .

$6 \cdot - 1 y \cdot y - 42 y$

$6 \cdot - 1 y \cdot y - 42 y$

$6 \cdot - 1 y \cdot y - 42 y$

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 $y$ .

$6 \cdot - 1 (y \cdot y) - 42 y$

Step 2.1.2

Multiply $y$ by $y$ .

$6 \cdot - 1 y^{2} - 42 y$

$6 \cdot - 1 y^{2} - 42 y$

Step 2.2

Multiply $6$ by $- 1$ .

$- 6 y^{2} - 42 y$

$- 6 y^{2} - 42 y$

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