Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Add $- 7 x y$ and $3 x y$ .

$x^{2} - (- y^{2} - x^{2} - 4 x y - 2 y^{2})$

Step 2.2

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

$x^{2} - (- 3 y^{2} - x^{2} - 4 x y)$

Step 2.3

Apply the distributive property.

$x^{2} - (- 3 y^{2}) - - x^{2} - (- 4 x y)$

Step 2.4

Simplify.

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Step 2.4.1

Multiply $- 3$ by $- 1$ .

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

Step 2.4.2

Multiply $- - x^{2}$ .

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Step 2.4.2.1

Multiply $- 1$ by $- 1$ .

$x^{2} + 3 y^{2} + 1 x^{2} - (- 4 x y)$

Step 2.4.2.2

Multiply $x^{2}$ by $1$ .

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

Step 2.4.3

Multiply $- 4$ by $- 1$ .

$x^{2} + 3 y^{2} + x^{2} + 4 (x y)$

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

Step 3

Add $x^{2}$ and $x^{2}$ .

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