Resolve x+62/(3x-1)^2(2x+3)

Answer 1

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.