(2a-2b)(2a-2b)+a(4b-a)
You asked:
Evaluate the expression: \(\left(2 a - 2 b\right) \left(2 a - 2 b\right) + a \left(4 b - a\right)\)
MathBot Answer:
Evaluated
\(\displaystyle \left(2 a - 2 b\right) \left(2 a - 2 b\right) + a \left(4 b - a\right) = a \left(- a + 4 b\right) + \left(2 a - 2 b\right)^{2} \)
Expanded
\[\left(2 a - 2 b\right) \left(2 a - 2 b\right) + a \left(4 b - a\right) = 3 a^{2} - 4 a b + 4 b^{2}\]
Factored
\[\left(2 a - 2 b\right) \left(2 a - 2 b\right) + a \left(4 b - a\right) = 3 a^{2} - 4 a b + 4 b^{2}\]