Question

What is the simplified form of 4x^2-25/2x-5?

Answer 1

@Michele_Laino

Answer 2

hint:
we can factorize the numerator as follows:
\[\Large \frac{{4{x^2} - 25}}{{2x - 5}} = \frac{{\left( {2x - 5} \right)\left( {2x + 5} \right)}}{{2x - 5}} = ...?\]

Answer 3

2x+5

Answer 4

since in general we have:
\[\Large {a^2}{x^2} - {b^2} = \left( {ax - b} \right)\left( {ax + b} \right)\]

Answer 5

that's right!

Answer 6

What would the restriction be?

Answer 7

since we can not divide by zero, then we have to exclude those values of x such that:
\[\Large 2x - 5 = 0\]

Answer 8

So -5/2

Answer 9

we have to exclòude x=5/2

Answer 10

exclude*

Answer 11

So I was wrong when I said -5/2?

Answer 12

yes! since
\[2x - 5 = 0\]
when:
x=5/2

Answer 13

please try to solve that equation:
2x-5=0

Answer 14

Ok! I see! So the answer would be 2x+5, with a restriction of 5/2

Answer 15

that's right!

Answer 16

:)!!! May I ask another?

Answer 17

ok!

Answer 18

What is the simplifed form of