Question

What is the simplified form of the quantity 9 x squared minus 25 over the quantity 3 x plus 5 ? (1 point) 3x + 5, with the restriction x ≠ five over 3 3x − 5, with the restriction x ≠ five over 3 3x − 5, with the restriction x ≠ − five over 3

3x + 5, with the restriction x ≠ − five over 3
I am pretty sure it is 3x-5 but I am not sure on the restriction.

Answer 1

The simplified form of the expression 9x^2 - 25 / (3x + 5) is 3x - 5, with the restriction x ≠ -5/3.

Step-by-step explanation:

The simplified form of the expression 9x^2 - 25 / (3x + 5) is 3x - 5, with the restriction that x is not equal to -5⁄3. To simplify the expression, we can factor the numerator and denominator and cancel out common factors:

9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5)

Then we can cancel out the common factor of 3x + 5 from the numerator and denominator, resulting in 3x - 5.

Answer 2

If so, start by factoring the numerator. Then cancel any common term in the numerator and denominator. If you end up with no denominator, then use the original denominator. Set it equal to zero and solve for x. That value of x will be the restriction.