Pre-Algebra Examples

$f (x) = x (118 - x)$

Step 1

Rewrite the function as an equation.

$y = x (118 - x)$

Step 2

Simplify $x (118 - x)$ .

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Step 2.1

Simplify by multiplying through.

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Step 2.1.1

Apply the distributive property.

$y = x \cdot 118 + x (- x)$

Step 2.1.2

Reorder.

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Step 2.1.2.1

Move $118$ to the left of $x$ .

$y = 118 \cdot x + x (- x)$

Step 2.1.2.2

Rewrite using the commutative property of multiplication.

$y = 118 \cdot x - x \cdot x$

Step 2.2

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

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Step 2.2.1

Move $x$ .

$y = 118 x - (x \cdot x)$

Step 2.2.2

Multiply $x$ by $x$ .

$y = 118 x - x^{2}$

Step 2.3

Reorder $118 x$ and $- x^{2}$ .

$y = - x^{2} + 118 x$