Question

Which expression is equivalent to the following complex fraction?

a) 3x - 2y
b) 2y + 5x
c) -2y + 5x
d) (3x - 2y)(2y + 5x)

Answer 1

The expression equivalent to the given complex fraction is (3x - 2y)(2y + 5x).

Step-by-step explanation:

The expression equivalent to the given complex fraction is (3x - 2y)(2y + 5x), which is option d).

To simplify the complex fraction, we can multiply the numerator and denominator by the LCD (Least Common Denominator) of the fractions involved. In this case, the LCD is (3x - 2y)(2y + 5x).

Multiplying both the numerator and denominator by the LCD, we get (3x - 2y)(2y + 5x) / [(3x - 2y)(2y + 5x)].

By canceling out the common factors in the numerator and denominator, we obtain the expression (3x - 2y)(2y + 5x).