Basic Math Examples

$7 w (3 w + 5) - (3 w + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 w (3 w) + 7 w \cdot 5 - (3 w + 5)$

Step 1.2

Rewrite using the commutative property of multiplication.

$7 \cdot 3 w \cdot w + 7 w \cdot 5 - (3 w + 5)$

Step 1.3

Multiply $5$ by $7$ .

$7 \cdot 3 w \cdot w + 35 w - (3 w + 5)$

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply $w$ by $w$ by adding the exponents.

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Step 1.4.1.1

Move $w$ .

$7 \cdot 3 (w \cdot w) + 35 w - (3 w + 5)$

Step 1.4.1.2

Multiply $w$ by $w$ .

$7 \cdot 3 w^{2} + 35 w - (3 w + 5)$

$7 \cdot 3 w^{2} + 35 w - (3 w + 5)$

Step 1.4.2

Multiply $7$ by $3$ .

$21 w^{2} + 35 w - (3 w + 5)$

$21 w^{2} + 35 w - (3 w + 5)$

Step 1.5

Apply the distributive property.

$21 w^{2} + 35 w - (3 w) - 1 \cdot 5$

Step 1.6

Multiply $3$ by $- 1$ .

$21 w^{2} + 35 w - 3 w - 1 \cdot 5$

Step 1.7

Multiply $- 1$ by $5$ .

$21 w^{2} + 35 w - 3 w - 5$

$21 w^{2} + 35 w - 3 w - 5$

Step 2

Subtract $3 w$ from $35 w$ .

$21 w^{2} + 32 w - 5$

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