Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $2$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $x^{2}$ from $3 x^{2}$ .

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

Step 2.2

Add $- 7 x y$ and $2 x y$ .

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

Step 2.3

Subtract $2$ from $4$ .

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