2(2a+b)²-5(2a+b)+3
You asked:
Evaluate the expression: \(2 \cdot {\left( 2 a + b \right)}^{2} - 5 \cdot \left(2 a + b\right) + 3\)
MathBot Answer:
Evaluated
\(\displaystyle 2 \cdot {\left( 2 a + b \right)}^{2} - 5 \cdot \left(2 a + b\right) + 3 = - 10 a - 5 b + 2 \left(2 a + b\right)^{2} + 3 \)
Expanded
\[2 \cdot {\left( 2 a + b \right)}^{2} - 5 \cdot \left(2 a + b\right) + 3 = 8 a^{2} + 8 a b - 10 a + 2 b^{2} - 5 b + 3\]
Factored
\[2 \cdot {\left( 2 a + b \right)}^{2} - 5 \cdot \left(2 a + b\right) + 3 = \left(2 a + b - 1\right) \left(4 a + 2 b - 3\right)\]