Simplify the Expression: 8x²/4x + 3x Step by Step

You can cancel common factors from numerator and denominator because it's like dividing both by the same number. $\frac{x^2}{x} = x$ just like $\frac{6}{3} = 2$!

Great question! When x = 0, the original expression $\frac{8x^2}{4x}$ is undefined because we can't divide by zero. So our simplified answer 5x is only valid when x ≠ 0.

Like terms have the same variable raised to the same power. Since 2x and 3x both have 'x' to the first power, you can add them: 2x + 3x = 5x.

Yes! You could factor: $\frac{8x^2}{4x} = \frac{4x \cdot 2x}{4x}$, then cancel 4x from top and bottom to get 2x. Different methods, same result!

If you can't cancel completely, leave it as a simplified fraction. For example, $\frac{7x^2}{4x} = \frac{7x}{4}$ since 7 and 4 have no common factors.