3x(1+31)+(x-31)(x+11)-2(x-31)^2

asked by guest
on Sep 22, 2024 at 12:13 pm



You asked:

Evaluate the expression: \(3 \cdot x \cdot \left(1 + 31\right) + \left(x - 31\right) \cdot \left(x + 11\right) - 2 \cdot {\left( x - 31 \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle 3 \cdot x \cdot \left(1 + 31\right) + \left(x - 31\right) \cdot \left(x + 11\right) - 2 \cdot {\left( x - 31 \right)}^{2} = 96 x - 2 \left(x - 31\right)^{2} + \left(x - 31\right) \left(x + 11\right) \)

Expanded

\[3 \cdot x \cdot \left(1 + 31\right) + \left(x - 31\right) \cdot \left(x + 11\right) - 2 \cdot {\left( x - 31 \right)}^{2} = - x^{2} + 200 x - 2263\]

Factored

\[3 \cdot x \cdot \left(1 + 31\right) + \left(x - 31\right) \cdot \left(x + 11\right) - 2 \cdot {\left( x - 31 \right)}^{2} = - x^{2} + 200 x - 2263\]

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