Basic Math Examples

$- 7 y^{3} (4 y - 5)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$- 7 y^{3} (4 y) - 7 y^{3} \cdot - 5$

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$- 7 \cdot 4 y^{3} y - 7 y^{3} \cdot - 5$

Step 1.2.2

Multiply $- 5$ by $- 7$ .

$- 7 \cdot 4 y^{3} y + 35 y^{3}$

Step 2

Simplify each term.

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Step 2.1

Multiply $y^{3}$ by $y$ by adding the exponents.

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Step 2.1.1

Move $y$ .

$- 7 \cdot 4 (y \cdot y^{3}) + 35 y^{3}$

Step 2.1.2

Multiply $y$ by $y^{3}$ .

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Step 2.1.2.1

Raise $y$ to the power of $1$ .

$- 7 \cdot 4 (y^{1} y^{3}) + 35 y^{3}$

Step 2.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 7 \cdot 4 y^{1 + 3} + 35 y^{3}$

Step 2.1.3

Add $1$ and $3$ .

$- 7 \cdot 4 y^{4} + 35 y^{3}$

Step 2.2

Multiply $- 7$ by $4$ .

$- 28 y^{4} + 35 y^{3}$