1-2a-2b-3(a+b)²
You asked:
Evaluate the expression: \(1 - 2 a - 2 b - 3 \cdot {\left( a + b \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 1 - 2 a - 2 b - 3 \cdot {\left( a + b \right)}^{2} = - 2 a - 2 b - 3 \left(a + b\right)^{2} + 1 \)
Expanded
\[1 - 2 a - 2 b - 3 \cdot {\left( a + b \right)}^{2} = - 3 a^{2} - 6 a b - 2 a - 3 b^{2} - 2 b + 1\]
Factored
\[1 - 2 a - 2 b - 3 \cdot {\left( a + b \right)}^{2} = - \left(3 a + 3 b - 1\right) \left(a + b + 1\right)\]