simplify completely x+2/7x^2-28

Question

mathstudent55 · Answer

You mean

$ \dfrac{x + 2}{7x^2 - 28} $   ?

anonymous · Answer

yes idk how to writh them on the laptop with all the expressions lol

mathstudent55 · Answer

The numerator is a binomial that is factored.
The denominator is a binomial that can be factored.
The first step is to factor the denominator completely.

anonymous · Answer

$$\frac{ 1 }{ 7x-14 }   $$?

anonymous · Answer

is that it is that the answer

anonymous · Answer

hello

anonymous · Answer

can someone help me please ANYBODY.

mathstudent55 · Answer

I was trying to help you, but you didn't answer. Can you factor the denominator?

anonymous · Answer

NO I DID ANSWER IM SAYING THAT I DONT UNDERSTAND ALGEBRA IS ONE OF MY WEAK SUBJECTS

anonymous · Answer

I KNOW IT SHOULD B 4

mathstudent55 · Answer

For the third time:
Can you factor $7x^2 - 28$ ?

anonymous · Answer

HOW DO U FACTOR WHAT R U SAYING I GUESS 4 WOULD BE THE FACTOR

anonymous · Answer

14

mathstudent55 · Answer

The two terms 7x^2 and 28 have a common factor of 7, so you factor it out first:

$ \dfrac{x + 2}{7(x^2 - 4)} $

Now you need to factor x^2 - 4 into two factors.

mathstudent55 · Answer

$ =\dfrac{x + 2}{7(x + 2)(x - 2)}$

$ =\dfrac{\cancel{x + 2} ~1}{7(\cancel{x + 2})(x - 2)}$

$ =\dfrac{1}{7(x - 2)}$

$ =\dfrac{1}{7x - 14}$