3x-27/55÷x-9/15x my answer is =3(11x^2-4)/11x
is this correct.
Depends upon where the parentheses go. We have been through this before
To determine whether your answer is correct for the expression 3x - (27/55) ÷ (x - 9/15x), we need to simplify the expression and compare it to your answer.
1. Let's simplify the expression step by step:
a. First, multiply the fractions in the numerator and denominator by their least common multiple (LCM) to eliminate the denominators:
3x - (27/55) ÷ (x - 9/15x)
= 3x - (27x)/(55x) ÷ (x - (9/15)x)
= 3x - (27x)/(55x) ÷ (x - (3/5)x)
b. Next, simplify the division by multiplying the numerator by the reciprocal of the denominator:
= 3x - (27x)/(55x) × (15x)/(5x - 3x)
= 3x - (405x^2)/(55x(5x - 3x))
= 3x - (405x^2)/(275x^2 - 165x^2)
= 3x - (405x^2)/(110x^2)
c. Simplify the expression further by factoring out a common term:
= 3x - (405x^2)/(110x^2)
= 3x - (405/110)(x^2/x^2) (canceling the common factor of x^2)
= 3x - (405/110)
d. Finally, simplify the expression:
= 3x - (81/22)
= (66x - 81)/22
2. Comparing this simplified expression with your answer:
Your answer = 3(11x^2 - 4)/(11x)
Comparing the two, we can conclude that your answer is not correct, as it does not match the simplified expression we derived.
The correct answer for the expression 3x - (27/55) ÷ (x - 9/15x) is (66x - 81)/22.