Basic Math Examples

$(y + 6 y) (7 y - b)$

Step 1

Simplify terms.

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Step 1.1

Add $y$ and $6 y$ .

$7 y (7 y - b)$

Step 1.2

Apply the distributive property.

$7 y (7 y) + 7 y (- b)$

Step 1.3

Reorder.

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Step 1.3.1

Rewrite using the commutative property of multiplication.

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

Step 1.3.2

Rewrite using the commutative property of multiplication.

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

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 $y$ .

$7 \cdot 7 (y \cdot y) + 7 \cdot - 1 y b$

Step 2.1.2

Multiply $y$ by $y$ .

$7 \cdot 7 y^{2} + 7 \cdot - 1 y b$

Step 2.2

Multiply $7$ by $7$ .

$49 y^{2} + 7 \cdot - 1 y b$

Step 2.3

Multiply $7$ by $- 1$ .

$49 y^{2} - 7 y b$