Finite Math Examples

$(x + h) (20 - x)$

Step 1

Expand $(x + h) (20 - x)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x (20 - x) + h (20 - x)$

Step 1.2

Apply the distributive property.

$x \cdot 20 + x (- x) + h (20 - x)$

Step 1.3

Apply the distributive property.

$x \cdot 20 + x (- x) + h \cdot 20 + h (- x)$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Move $20$ to the left of $x$ .

$20 \cdot x + x (- x) + h \cdot 20 + h (- x)$

Step 2.1.2

Rewrite using the commutative property of multiplication.

$20 x - x \cdot x + h \cdot 20 + h (- x)$

Step 2.1.3

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

Tap for more steps...

Step 2.1.3.1

Move $x$ .

$20 x - (x \cdot x) + h \cdot 20 + h (- x)$

Step 2.1.3.2

Multiply $x$ by $x$ .

$20 x - x^{2} + h \cdot 20 + h (- x)$

Step 2.1.4

Move $20$ to the left of $h$ .

$20 x - x^{2} + 20 \cdot h + h (- x)$

Step 2.1.5

Rewrite using the commutative property of multiplication.

$20 x - x^{2} + 20 h - h x$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Move $20 x$ .

$- x^{2} + 20 h - h x + 20 x$

Step 2.2.2

Move $20 h$ .

$- x^{2} - h x + 20 h + 20 x$

Step 2.2.3

Reorder $- x^{2}$ and $- h x$ .

$- h x - x^{2} + 20 h + 20 x$