Question

(05.01) What is the simplified form of the quantity 9 x squared minus 25 over the quantity 3 x plus 5 ? (1 point)

Answer 1

For the Question:

What is the simplified form of the quantity 9 x squared minus 25 over the quantity 3 x minus 5

Answer:

3x + 5, with the restriction x ≠ five over 3

Explanation:

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Answer 2

The expression to be simplified is: (9x^2 - 25) / (3x + 5)
We first factor the numerator: 9x^2 - 25 is a difference of two squares, (3x)^2 - (5)^2, so this can be factored into (3x + 5)(3x - 5).
Then the expression becomes (3x + 5)(3x - 5) / (3x+5), and the 3x + 5 term cancels out, leaving just 3x - 5 as the final answer.