Examples

y = x (4 - x)

$y = x (4 - x)$

Step 1

Simplify

x (4 - x)

$x (4 - x)$ .

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Step 1.1

Simplify by multiplying through.

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Step 1.1.1

Apply the distributive property.

y = x \cdot 4 + x (- x)

$y = x \cdot 4 + x (- x)$

Step 1.1.2

Reorder.

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Step 1.1.2.1

Move

4

$4$ to the left of

x

$x$ .

y = 4 \cdot x + x (- x)

$y = 4 \cdot x + x (- x)$

Step 1.1.2.2

Rewrite using the commutative property of multiplication.

y = 4 \cdot x - x \cdot x

$y = 4 \cdot x - x \cdot x$

y = 4 \cdot x - x \cdot x

$y = 4 \cdot x - x \cdot x$

y = 4 \cdot x - x \cdot x

$y = 4 \cdot x - x \cdot x$

Step 1.2

Multiply

x

$x$ by

x

$x$ by adding the exponents.

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Step 1.2.1

Move

x

$x$ .

y = 4 x - (x \cdot x)

$y = 4 x - (x \cdot x)$

Step 1.2.2

Multiply

x

$x$ by

x

$x$ .

y = 4 x - x^{2}

$y = 4 x - x^{2}$

y = 4 x - x^{2}

$y = 4 x - x^{2}$

Step 1.3

Reorder

4 x

$4 x$ and

- x^{2}

$- x^{2}$ .

y = - x^{2} + 4 x

$y = - x^{2} + 4 x$

y = - x^{2} + 4 x

$y = - x^{2} + 4 x$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

$0$ or

1

$1$ for each of its variables. In this case, the degree of variable

y

$y$ is

1

$1$ and the degree of variable

x

$x$ is

2

$2$ .

Not Linear

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