Algebra Examples

$h (x) = \frac{f (2 x) g (- 2 x)}{2}$

Step 1

Rewrite the function as an equation.

$y = \frac{f (2 x) g (- 2 x)}{2}$

Step 2

Remove parentheses.

$y = \frac{f \cdot (2 x g (- 2 x))}{2}$

Step 3

Simplify $\frac{f \cdot (2 x g (- 2 x))}{2}$ .

Tap for more steps...

Step 3.1

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

Tap for more steps...

Step 3.1.1

Move $x$ .

$y = \frac{f \cdot (2 (x \cdot x) g \cdot - 2)}{2}$

Step 3.1.2

Multiply $x$ by $x$ .

$y = \frac{f \cdot (2 x^{2} g \cdot - 2)}{2}$

Step 3.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$y = \frac{f \cdot (2 x^{2} g \cdot - 2)}{2}$

Step 3.2.2

Divide $f \cdot (x^{2} g \cdot - 2)$ by $1$ .

$y = f \cdot (x^{2} g \cdot - 2)$

Step 3.3

Rewrite using the commutative property of multiplication.

$y = - 2 f x^{2} g$