SOLUTION: Please list the steps to Simplify the below problem? I come up with 2a after multiplication and cancellation a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b = 2

Algebra ->  Equations -> SOLUTION: Please list the steps to Simplify the below problem? I come up with 2a after multiplication and cancellation a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b = 2      Log On


   

Question 1168747: Please list the steps to Simplify the below problem? I come up with 2a after multiplication and cancellation
a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b = 2a
a^2 - ab a - 1 a(a - b) * a - 1 a^2 -b
Thank you
Found 3 solutions by math_tutor2020, greenestamps, MathTherapy:
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28a%5E2-b%5E2%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 Given expression

%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 Factor a^2-b^2 using difference of squares rule

%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 Factor a^2-ab by pulling out an 'a'

%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 Factor 2a out of 2a^2-2a

Notice this pair of (a-b) terms

Those terms cancel

%28%28a%2Bb%29%2Fa%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 Leaving this behind

Next we have this pair of (a-1) terms

%28%28a%2Bb%29%2Fa%29%2A%28%282a%2Across%28%28a-1%29%29%29%2F%28cross%28%28a-1%29%29%29%29 Which cancel

%28%28a%2Bb%29%2Fa%29%2A%28%282a%29%2F1%29 and they go away leaving this

%28%28a%2Bb%29%2F%28highlight%28a%29%29%29%2A%28%282highlight%28a%29%29%2F1%29 Finally we have a pair of 'a' terms

%28%28a%2Bb%29%2F%28cross%28a%29%29%29%2A%28%282cross%28a%29%29%2F1%29 which cancel

%28%28a%2Bb%29%2F1%29%2A%282%2F1%29 leaving this behind

%28%28a%2Bb%29%2A2%29%2F%281%2A1%29 multiply straight across

%282a%2B2b%29%2F1

2a%2B2b

The final answer is 2a+2b which is the same as 2(a+b)

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


I don't know what "simplify a problem" means.... I understand "simplify an expression" or "simplify a fraction".

But that doesn't matter, because I have ABSOLUTELY no idea what the original problem is, or what you are doing to try to "simplify it".

If you want help with your question, take the time to present it clearly -- and to present the work you did on the problem clearly also.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Please list the steps to Simplify the below problem? I come up with 2a after multiplication and cancellation
a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b = 2a
a^2 - ab a - 1 a(a - b) * a - 1 a^2 -b
Thank you
  <====== This is what you have.

  <====== This is what you should have.

Compare them and you'll see where you went wrong!!