Question

Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2

Answer 1

Answer:

a = 3, b = 5

Step-by-step explanation:

We are given the following expression:

$\frac{3}{x} +\frac{5}{x^2}$ which we are supposed to simplify and tell the values of $a$ and $b$ that complete the sum by justifying it.

So to solve this expression, we will take the LCM of both the fractions and write it in the form of a single fraction.

$\frac{3}{x} +\frac{5}{x^2}$

$\frac{3x+5}{x^2}$

So this is the simplified expression in the form $\frac{ax+b}{x^2}$ where $a = 3$ and $b=5$.