Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 4$ by $- 1$ .

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

Step 1.2.2

Multiply $2$ by $- 1$ .

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

Step 1.2.3

Multiply $3$ by $- 1$ .

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

Step 1.3

Remove parentheses.

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $4 x^{2} y$ and $4 x^{2} y$ .

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

Step 2.2

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

$8 x^{2} y - 6 x y^{2} + 4 x - 3 x y - 2 x y - x$

Step 2.3

Subtract $x$ from $4 x$ .

$8 x^{2} y - 6 x y^{2} - 3 x y - 2 x y + 3 x$

Step 2.4

Subtract $2 x y$ from $- 3 x y$ .

$8 x^{2} y - 6 x y^{2} - 5 x y + 3 x$