Chemistry Examples

gcf $(8 (y + 5)) + 9 y (y + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 y + 8 \cdot 5 + 9 y (y + 5)$

Step 1.2

Multiply $8$ by $5$ .

$8 y + 40 + 9 y (y + 5)$

Step 1.3

Apply the distributive property.

$8 y + 40 + 9 y \cdot y + 9 y \cdot 5$

Step 1.4

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

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Step 1.4.1

Move $y$ .

$8 y + 40 + 9 (y \cdot y) + 9 y \cdot 5$

Step 1.4.2

Multiply $y$ by $y$ .

$8 y + 40 + 9 y^{2} + 9 y \cdot 5$

$8 y + 40 + 9 y^{2} + 9 y \cdot 5$

Step 1.5

Multiply $5$ by $9$ .

$8 y + 40 + 9 y^{2} + 45 y$

$8 y + 40 + 9 y^{2} + 45 y$

Step 2

Simplify by adding terms.

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Step 2.1

Add $8 y$ and $45 y$ .

$53 y + 40 + 9 y^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $40$ .

$53 y + 9 y^{2} + 40$

Step 2.2.2

Reorder $53 y$ and $9 y^{2}$ .

$9 y^{2} + 53 y + 40$

$9 y^{2} + 53 y + 40$

$9 y^{2} + 53 y + 40$

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