Pre-Algebra Examples

 $\begin{array}{r} l = & x + y \\ w = & x + y \end{array}$

Step 1

The area of a rectangle is equal to the length times the width.

$(l e n g t h) \cdot (w i d t h)$

Step 2

Substitute the values of the length $l = x + y$ and width $w = x + y$ into the formula for the area of a rectangle.

$(x + y) \cdot (x + y)$

Step 3

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

Tap for more steps...

Step 3.1

Apply the distributive property.

$x (x + y) + y (x + y)$

Step 3.2

Apply the distributive property.

$x \cdot x + x y + y (x + y)$

Step 3.3

Apply the distributive property.

$x \cdot x + x y + y x + y \cdot y$

Step 4

Simplify and combine like terms.

Tap for more steps...

Step 4.1

Simplify each term.

Tap for more steps...

Step 4.1.1

Multiply $x$ by $x$ .

$x^{2} + x y + y x + y \cdot y$

Step 4.1.2

Multiply $y$ by $y$ .

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

Step 4.2

Add $x y$ and $y x$ .

Tap for more steps...

Step 4.2.1

Reorder $y$ and $x$ .

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

Step 4.2.2

Add $x y$ and $x y$ .

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