Pre-Algebra Examples

$(x y - 4) (x y + 6)$

Step 1

Expand $(x y - 4) (x y + 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x y (x y + 6) - 4 (x y + 6)$

Step 1.2

Apply the distributive property.

$x y (x y) + x y \cdot 6 - 4 (x y + 6)$

Step 1.3

Apply the distributive property.

$x y (x y) + x y \cdot 6 - 4 (x y) - 4 \cdot 6$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.1.1

Move $x$ .

$x \cdot x y \cdot y + x y \cdot 6 - 4 (x y) - 4 \cdot 6$

Step 2.1.1.2

Multiply $x$ by $x$ .

$x^{2} y \cdot y + x y \cdot 6 - 4 (x y) - 4 \cdot 6$

Step 2.1.2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1.2.1

Move $y$ .

$x^{2} (y \cdot y) + x y \cdot 6 - 4 (x y) - 4 \cdot 6$

Step 2.1.2.2

Multiply $y$ by $y$ .

$x^{2} y^{2} + x y \cdot 6 - 4 (x y) - 4 \cdot 6$

Step 2.1.3

Move $6$ to the left of $x y$ .

$x^{2} y^{2} + 6 \cdot (x y) - 4 (x y) - 4 \cdot 6$

Step 2.1.4

Multiply $- 4$ by $6$ .

$x^{2} y^{2} + 6 x y - 4 x y - 24$

Step 2.2

Subtract $4 x y$ from $6 x y$ .

$x^{2} y^{2} + 2 x y - 24$