Algebra Examples

$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 y^{2} + 8 y^{4} - 5 y - (9 y^{4}) - (- 7 y) - (2 y^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $9$ by $- 1$ .

$6 y^{2} + 8 y^{4} - 5 y - 9 y^{4} - (- 7 y) - (2 y^{2})$

Step 1.2.2

Multiply $- 7$ by $- 1$ .

$6 y^{2} + 8 y^{4} - 5 y - 9 y^{4} + 7 y - (2 y^{2})$

Step 1.2.3

Multiply $2$ by $- 1$ .

$6 y^{2} + 8 y^{4} - 5 y - 9 y^{4} + 7 y - 2 y^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 y^{2}$ from $6 y^{2}$ .

$4 y^{2} + 8 y^{4} - 5 y - 9 y^{4} + 7 y$

Step 2.2

Subtract $9 y^{4}$ from $8 y^{4}$ .

$4 y^{2} - y^{4} - 5 y + 7 y$

Step 2.3

Add $- 5 y$ and $7 y$ .

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

Step 2.4

Reorder $4 y^{2}$ and $- y^{4}$ .

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