Determine if Linear y=3x(x-2)

$y = 3 x (x - 2)$

Step 1

Simplify $3 x (x - 2)$ .

Apply the distributive property.

$y = 3 x \cdot x + 3 x \cdot - 2$

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

Move $x$ .

$y = 3 (x \cdot x) + 3 x \cdot - 2$

Multiply $x$ by $x$ .

$y = 3 x^{2} + 3 x \cdot - 2$

Multiply $- 2$ by $3$ .

$y = 3 x^{2} - 6 x$

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=3x(x-2)

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