Finite Math Examples

$y = x (600 - x)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$y = x \cdot 600 + x (- x)$

Step 1.2

Reorder.

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Step 1.2.1

Move $600$ to the left of $x$ .

$y = 600 \cdot x + x (- x)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$y = 600 \cdot x - x \cdot x$

Step 2

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

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Step 2.1

Move $x$ .

$y = 600 x - (x \cdot x)$

Step 2.2

Multiply $x$ by $x$ .

$y = 600 x - x^{2}$

Step 3

Reorder $600 x$ and $- x^{2}$ .

$y = - x^{2} + 600 x$