Determine if Linear y=2x(x-4)

$y = 2 x (x - 4)$

Step 1

Simplify $2 x (x - 4)$ .

Apply the distributive property.

$y = 2 x \cdot x + 2 x \cdot - 4$

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

Move $x$ .

$y = 2 (x \cdot x) + 2 x \cdot - 4$

Multiply $x$ by $x$ .

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

Multiply $- 4$ by $2$ .

$y = 2 x^{2} - 8 x$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $2$ .

Not Linear

Determine if Linear y=2x(x-4)

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