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How Do I Solve These? "Simplify The Following... (2a + b)² - (b - 2a)²"
- Thread starter Saheed204
- Start date
D
Deleted member 4993
Guest
Hint: Use (x + y)2 = x2 + 2*x*y + y2Simplify The Following...
(2a + b)² - (b - 2a)²
What are your thoughts?
Please share your work with us ...even if you know it is wrong.
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HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
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- 7,763
It may be simpler, I think, to use the fact that \(\displaystyle x^2- y^2= (x- y)(x+ y)\). Here, \(\displaystyle x= 2a+ b\) and \(\displaystyle y= b- 2a\). So what are x- y and x+ y?
Simplify The Following...
(2a + b)² - (b - 2a)²
Because of the even exponent, you can rewrite it as this first:
(2a + b)² - (2a - b)²
D
Deleted member 4993
Guest
It may be simpler, I think, to use the fact that \(\displaystyle x^2- y^2= (x- y)(x+ y)\). Here, \(\displaystyle x= 2a+ b\) and \(\displaystyle y= b- 2a\). So what are x- y and x+ y?
It is simpler - I was hoping that the OP will come to that realization once the "simplification" process started.