Basic Math Examples

$(10 y^{2} - 8 y + 10) - (6 y^{2} + 7 y + 10)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$10 y^{2} - 8 y + 10 - (6 y^{2}) - (7 y) - 1 \cdot 10$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$10 y^{2} - 8 y + 10 - 6 y^{2} - (7 y) - 1 \cdot 10$

Step 1.2.2

Multiply $7$ by $- 1$ .

$10 y^{2} - 8 y + 10 - 6 y^{2} - 7 y - 1 \cdot 10$

Step 1.2.3

Multiply $- 1$ by $10$ .

$10 y^{2} - 8 y + 10 - 6 y^{2} - 7 y - 10$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $10 y^{2} - 8 y + 10 - 6 y^{2} - 7 y - 10$ .

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Step 2.1.1

Subtract $10$ from $10$ .

$10 y^{2} - 8 y - 6 y^{2} - 7 y + 0$

Step 2.1.2

Add $10 y^{2} - 8 y - 6 y^{2} - 7 y$ and $0$ .

$10 y^{2} - 8 y - 6 y^{2} - 7 y$

Step 2.2

Subtract $6 y^{2}$ from $10 y^{2}$ .

$4 y^{2} - 8 y - 7 y$

Step 2.3

Subtract $7 y$ from $- 8 y$ .

$4 y^{2} - 15 y$