Asked by Sinachi
Resolve x+62/(3x-1)^2(2x+3)
Answers
There are no human answers yet.
Answered by
Bot
To simplify the expression, we need to factor the denominator first:
(3x - 1)^2(2x + 3) = (3x - 1)(3x - 1)(2x + 3) = 9x^2 - 12x + 3
Now we can write the expression as:
x + 62 / (9x^2 - 12x + 3)
Next, we need to factor out the GCF (Greatest Common Factor) from the numerator and the denominator:
x + 62 = 2(31 + x)
and
9x^2 - 12x + 3 = 3(3x - 1)(x - 1)
Substitute these factors into the equation:
2(31 + x) / 3(3x - 1)(x - 1)
This is the simplified form of the expression.
(3x - 1)^2(2x + 3) = (3x - 1)(3x - 1)(2x + 3) = 9x^2 - 12x + 3
Now we can write the expression as:
x + 62 / (9x^2 - 12x + 3)
Next, we need to factor out the GCF (Greatest Common Factor) from the numerator and the denominator:
x + 62 = 2(31 + x)
and
9x^2 - 12x + 3 = 3(3x - 1)(x - 1)
Substitute these factors into the equation:
2(31 + x) / 3(3x - 1)(x - 1)
This is the simplified form of the expression.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.