SOLUTION: Please can someone help me. I have been asking questions for hours and cannot get any help. I need help with just two problems that I cannot get even with tutoring examples like th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please can someone help me. I have been asking questions for hours and cannot get any help. I need help with just two problems that I cannot get even with tutoring examples like th      Log On


   

Question 471367: Please can someone help me. I have been asking questions for hours and cannot get any help. I need help with just two problems that I cannot get even with tutoring examples like them. I thank you so much for your time.
Divide and simplify:(11y-44)/10 (y-4)/6y
Multiply and simplify: 16c^2/4c^2-16c+16 * 4c-8/4c
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started. If that doesn't help, feel free to ask me further.

# 1

%28%2811y-44%29%2F10%29%2F%28%28y-4%29%2F%286y%29%29 Start with the given expression.


%28%2811y-44%29%2F10%29%2A%286y%2F%28y-4%29%29 Multiply the first upper fraction by the reciprocal of the lower fraction. In other words, flip the second fraction and multiply.


%286y%2811y-44%29%29%2F%2810%28y-4%29%29 Multiply the fractions by multiplying the corresponding numerators and denominators separately. Note: I rearranged the 6y term a bit.


%286y%2A11%28y-4%29%29%2F%2810%28y-4%29%29 Factor 11y-44 to get 11%28y-4%29


%282%2A3y%2A11%28y-4%29%29%2F%2810%28y-4%29%29 Factor 6 to get 2%2A3


%282%2A3y%2A11%28y-4%29%29%2F%282%2A5%28y-4%29%29 Factor 10 to get 2%2A5


Highlight the common terms (shared between the numerator and denominator)


Cancel out the common terms (shared between the numerator and denominator)


%283%2A11y%29%2F%285%29 Simplify


%2833y%29%2F5 Multiply 3 and 11 to get 33.


So %28%2811y-44%29%2F10%29%2F%28%28y-4%29%2F%286y%29%29 completely simplifies to %2833y%29%2F5


In other words, %28%2811y-44%29%2F10%29%2F%28%28y-4%29%2F%286y%29%29=%2833y%29%2F5