Algebra Examples

$2 y + 8 (y + 1) + 5 (x + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 y + 8 y + 8 \cdot 1 + 5 (x + 5)$

Step 1.2

Multiply $8$ by $1$ .

$2 y + 8 y + 8 + 5 (x + 5)$

Step 1.3

Apply the distributive property.

$2 y + 8 y + 8 + 5 x + 5 \cdot 5$

Step 1.4

Multiply $5$ by $5$ .

$2 y + 8 y + 8 + 5 x + 25$

$2 y + 8 y + 8 + 5 x + 25$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 y$ and $8 y$ .

$10 y + 8 + 5 x + 25$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $8$ and $25$ .

$10 y + 5 x + 33$

Step 2.2.2

Reorder $10 y$ and $5 x$ .

$5 x + 10 y + 33$

$5 x + 10 y + 33$

$5 x + 10 y + 33$

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