(2a-3b)(c+d)-2a+3b
You asked:
Evaluate the expression: \(\left(2 a - 3 b\right) \left(c + d\right) - 2 a + 3 b\)
MathBot Answer:
Evaluated
\(\displaystyle \left(2 a - 3 b\right) \left(c + d\right) - 2 a + 3 b = - 2 a + 3 b + \left(2 a - 3 b\right) \left(c + d\right) \)
Expanded
\[\left(2 a - 3 b\right) \left(c + d\right) - 2 a + 3 b = 2 a c + 2 a d - 2 a - 3 b c - 3 b d + 3 b\]
Factored
\[\left(2 a - 3 b\right) \left(c + d\right) - 2 a + 3 b = \left(2 a - 3 b\right) \left(c + d - 1\right)\]