Basic Math Examples

$5 y^{5} + 2 (y^{4} - y^{5}) - 10 - 2 y + 3 y^{2} + 2 y + 3 + 7$

Step 1

Combine the opposite terms in $5 y^{5} + 2 (y^{4} - y^{5}) - 10 - 2 y + 3 y^{2} + 2 y + 3 + 7$ .

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Step 1.1

Add $- 2 y$ and $2 y$ .

$5 y^{5} + 2 (y^{4} - y^{5}) - 10 + 3 y^{2} + 0 + 3 + 7$

Step 1.2

Add $5 y^{5} + 2 (y^{4} - y^{5}) - 10 + 3 y^{2}$ and $0$ .

$5 y^{5} + 2 (y^{4} - y^{5}) - 10 + 3 y^{2} + 3 + 7$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$5 y^{5} + 2 y^{4} + 2 (- y^{5}) - 10 + 3 y^{2} + 3 + 7$

Step 2.2

Multiply $- 1$ by $2$ .

$5 y^{5} + 2 y^{4} - 2 y^{5} - 10 + 3 y^{2} + 3 + 7$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 y^{5}$ from $5 y^{5}$ .

$3 y^{5} + 2 y^{4} - 10 + 3 y^{2} + 3 + 7$

Step 3.2

Add $- 10$ and $3$ .

$3 y^{5} + 2 y^{4} + 3 y^{2} - 7 + 7$

Step 3.3

Combine the opposite terms in $3 y^{5} + 2 y^{4} + 3 y^{2} - 7 + 7$ .

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Step 3.3.1

Add $- 7$ and $7$ .

$3 y^{5} + 2 y^{4} + 3 y^{2} + 0$

Step 3.3.2

Add $3 y^{5} + 2 y^{4} + 3 y^{2}$ and $0$ .

$3 y^{5} + 2 y^{4} + 3 y^{2}$