simplify 9/11 2 -4/11 2

Answer 1

To simplify this expression, we first need to simplify the terms within the parentheses before performing any operations outside of the parentheses.

Let's start with (11^2) which is equal to 121, and (-4)^2 equals 16.

Now, we can rewrite the expression as:

(9/121) - (4/16)

To subtract these fractions, we need a common denominator. Since 121 and 16 share no factors, the common denominator will be their product, which is 1936.

Converting both fractions to have the common denominator, we get:

(9/121)*(16/16) - (4/16)*(121/121)
= 144/1936 - 484/1936

Now, we can subtract these fractions:

144/1936 - 484/1936
= (144 - 484)/1936
= -340/1936

Therefore, the simplified expression is -340/1936.