How to Simplify the Expression Y = 5x² - 4x² - 1 / (x + 8y)

25 Sep 2023

Can you simplify the expression Y = 5x² - 4x² - 1 / (x + 8y) ?

Please choose the correct answer:

A) 1 B) 0 C) 25x² - 16x² - 1 D) 5/8x² - 4x² - 1

The correct answer is B) 0.

To simplify the expression Y = 5x² - 4x² - 1 / (x + 8y), first combine the like terms in the numerator and then find the common denominator.

First, combine like terms in the numerator: Y = x² - 1 / (x + 8y).

Next, find the common denominator for the fraction 1 / (x + 8y).

The simplified expression is Y = x² - 1(x + 8y) / (x + 8y), or Y = x² - x - 8y - 1 / (x + 8y).

Therefore, the final answer is 0.