Algebra Examples

$y (y + 4) - y (y - 3) - 9 y$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$y \cdot y + y \cdot 4 - y (y - 3) - 9 y$

Step 2.2

Multiply $y$ by $y$ .

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

Step 2.3

Move $4$ to the left of $y$ .

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

Step 2.4

Apply the distributive property.

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

Step 2.5

Multiply $y$ by $y$ by adding the exponents.

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Step 2.5.1

Move $y$ .

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

Step 2.5.2

Multiply $y$ by $y$ .

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

Step 2.6

Multiply $- 3$ by $- 1$ .

$y^{2} + 4 y - y^{2} + 3 y - 9 y$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $y^{2} + 4 y - y^{2} + 3 y - 9 y$ .

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Step 3.1.1

Subtract $y^{2}$ from $y^{2}$ .

$4 y + 0 + 3 y - 9 y$

Step 3.1.2

Add $4 y$ and $0$ .

$4 y + 3 y - 9 y$

Step 3.2

Add $4 y$ and $3 y$ .

$7 y - 9 y$

Step 3.3

Subtract $9 y$ from $7 y$ .

$- 2 y$