(a - b) ^ 2 - 5(a - b) + 6

asked by guest
on Sep 20, 2024 at 9:20 pm



You asked:

Evaluate the expression: \({\left( a - b \right)}^{2} - 5 \cdot \left(a - b\right) + 6\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( a - b \right)}^{2} - 5 \cdot \left(a - b\right) + 6 = - 5 a + 5 b + \left(a - b\right)^{2} + 6 \)

Expanded

\[{\left( a - b \right)}^{2} - 5 \cdot \left(a - b\right) + 6 = a^{2} - 2 a b - 5 a + b^{2} + 5 b + 6\]

Factored

\[{\left( a - b \right)}^{2} - 5 \cdot \left(a - b\right) + 6 = \left(a - b - 3\right) \left(a - b - 2\right)\]

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