Basic Math Examples

$(7 y^{2} - 3 y + 3) - (4 y^{2} - 4 y + 8) + (2 y^{2} - 4 y + 7)$

Step 1

Remove parentheses.

$(7 y^{2} - 3 y + 3) - (4 y^{2} - 4 y + 8) + 2 y^{2} - 4 y + 7$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$7 y^{2} - 3 y + 3 - (4 y^{2}) - (- 4 y) - 1 \cdot 8 + 2 y^{2} - 4 y + 7$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $4$ by $- 1$ .

$7 y^{2} - 3 y + 3 - 4 y^{2} - (- 4 y) - 1 \cdot 8 + 2 y^{2} - 4 y + 7$

Step 2.2.2

Multiply $- 4$ by $- 1$ .

$7 y^{2} - 3 y + 3 - 4 y^{2} + 4 y - 1 \cdot 8 + 2 y^{2} - 4 y + 7$

Step 2.2.3

Multiply $- 1$ by $8$ .

$7 y^{2} - 3 y + 3 - 4 y^{2} + 4 y - 8 + 2 y^{2} - 4 y + 7$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $7 y^{2} - 3 y + 3 - 4 y^{2} + 4 y - 8 + 2 y^{2} - 4 y + 7$ .

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Step 3.1.1

Subtract $4 y$ from $4 y$ .

$7 y^{2} - 3 y + 3 - 4 y^{2} - 8 + 2 y^{2} + 0 + 7$

Step 3.1.2

Add $7 y^{2} - 3 y + 3 - 4 y^{2} - 8 + 2 y^{2}$ and $0$ .

$7 y^{2} - 3 y + 3 - 4 y^{2} - 8 + 2 y^{2} + 7$

Step 3.2

Subtract $4 y^{2}$ from $7 y^{2}$ .

$3 y^{2} - 3 y + 3 - 8 + 2 y^{2} + 7$

Step 3.3

Add $3 y^{2}$ and $2 y^{2}$ .

$5 y^{2} - 3 y + 3 - 8 + 7$

Step 3.4

Simplify by adding and subtracting.

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Step 3.4.1

Subtract $8$ from $3$ .

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

Step 3.4.2

Add $- 5$ and $7$ .

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