Algebra Examples

$7 y \cdot (- 2 y^{3}) + 9 y^{4}$

Step 1

Simplify each term.

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Step 1.1

Rewrite using the commutative property of multiplication.

$7 \cdot - 2 y \cdot y^{3} + 9 y^{4}$

Step 1.2

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

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Step 1.2.1

Move $y^{3}$ .

$7 \cdot - 2 (y^{3} y) + 9 y^{4}$

Step 1.2.2

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

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Step 1.2.2.1

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

$7 \cdot - 2 (y^{3} y^{1}) + 9 y^{4}$

Step 1.2.2.2

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

$7 \cdot - 2 y^{3 + 1} + 9 y^{4}$

Step 1.2.3

Add $3$ and $1$ .

$7 \cdot - 2 y^{4} + 9 y^{4}$

Step 1.3

Multiply $7$ by $- 2$ .

$- 14 y^{4} + 9 y^{4}$

Step 2

Add $- 14 y^{4}$ and $9 y^{4}$ .

$- 5 y^{4}$