3(2x + 1)(2x −1) − (x + 2)(x − 2)

asked by guest
on Oct 05, 2024 at 2:17 am



You asked:

Evaluate the expression: \(3 \cdot \left(2 x + 1\right) \cdot \left(2 x - 1\right) - \left(x + 2\right) \cdot \left(x - 2\right)\)

MathBot Answer:

Evaluated



\(\displaystyle 3 \cdot \left(2 x + 1\right) \cdot \left(2 x - 1\right) - \left(x + 2\right) \cdot \left(x - 2\right) = 3 \cdot \left(2 x - 1\right) \left(2 x + 1\right) - \left(x - 2\right) \left(x + 2\right) \)

Expanded

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

Factored

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

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