Question

What is the correct expanded version of the equation (s-t)(s/t)?

a) s^2/t - ts/t^2
b) s^2/t - st/t
c) st/t - s/t^2
d) s/t - t

Answer 1

The correct expansion of the equation (s-t)(s/t) is s^2/t - st/t. This is found by distributing each term inside the parentheses by s/t, leading to choice b) s^2/t - st/t as the correct answer.

Step-by-step explanation:

The question seeks the correct expanded version of the equation (s-t)(s/t). To expand this equation, we need to distribute the terms inside the first parentheses by the term outside, which in this case is (s/t). Here is a step-by-step explanation:

1. Multiply s by (s/t).

2. Multiply -t by (s/t).

By performing these multiplications, we get the first term as s2/t and the second term as -st/t, because in the second multiplication, -t and t in the denominator cancel out, leaving us with just -s.

The complete expanded formula is:

s

2

/t - st/t

Therefore, the correct choice is b) s2/t - st/t.