Algebra Examples

$(9 x y + y - 2 x) - (6 x y - 2 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 x y + y - 2 x - (6 x y) - (- 2 x)$

Step 1.2

Multiply $6$ by $- 1$ .

$9 x y + y - 2 x - 6 (x y) - (- 2 x)$

Step 1.3

Multiply $- 2$ by $- 1$ .

$9 x y + y - 2 x - 6 x y + 2 x$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $9 x y + y - 2 x - 6 x y + 2 x$ .

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Step 2.1.1

Add $- 2 x$ and $2 x$ .

$9 x y + y - 6 x y + 0$

Step 2.1.2

Add $9 x y + y - 6 x y$ and $0$ .

$9 x y + y - 6 x y$

Step 2.2

Subtract $6 x y$ from $9 x y$ .

$3 x y + y$