SOLUTION: Hi,I am having a hard time with this equation and would like some help.{{{x+4}}}/{{{x^2+8x+16}}}

Algebra.Com
Question 310385: Hi,I am having a hard time with this equation and would like some help./
Answer by PRMath(133)   (Show Source): You can put this solution on YOUR website!
/

Factoring is tricky but don't let it intimidate you. Just do this:



Now can you see that these highlighted terms cancel each other?


BUT when I say: "cancel" I'm not meaning that you can just just wipe out the (x + 4) in the numerator. Why? Well, when we "cancel" terms, we aren't just DELETING them! Think of this: = 1, right? Similarly, = 1, right?


SO when we cancel out the (x + 4) above, we are really saying that equals 1.


Therefore, this:

is really:

Does that make sense? I hope so. If you need more help with canceling and factoring, check out my YouTube videos. Just do a search on YouTube for PRMathChicago and when you find my name, you'll see some vids that my help you because they explain this in more detail.

Good luck. :-)

RELATED QUESTIONS

Solve. X^2 = -6x. I am having a hard time with this problem and need some help.... (answered by stargrl12566)
Hi,I am having a hard time with this... (answered by ichudov)
Help.... I am having a real hard time with this one. Any help would be greatly... (answered by sarahschober)
I need help with this equation. Please!!!! I am having a hard time working this out. I... (answered by stanbon)
I am trying to solve this equation and I am having a hard time with it... x^-1 + 3/(x+2)... (answered by Alan3354,Edwin McCravy)
HeLLo! And if you are helping me.... I truly appreciate it! Im having a hard time with... (answered by stanbon)
Solve the equation by completing the square: x^2 + 8x = 14 can someone help me please... (answered by josmiceli)
I am having a hard time with this section. log4)x - log4)(x + 3) = -2 4e^(x+3) - 4 = 11 (answered by nerdybill)
Hi, I don't know if this equation belongs here but I would like some help with this... (answered by math_tutor2020,ikleyn)