(2x+3)(x-2)+3(x^2-4)

asked by guest
on Sep 23, 2024 at 2:29 pm



You asked:

Evaluate the expression: \(\left(2 x + 3\right) \cdot \left(x - 2\right) + 3 \cdot \left({x}^{2} - 4\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(2 x + 3\right) \cdot \left(x - 2\right) + 3 \cdot \left({x}^{2} - 4\right) = 3 x^{2} + \left(2 x + 3\right) \left(x - 2\right) - 12 \)

Expanded

\[\left(2 x + 3\right) \cdot \left(x - 2\right) + 3 \cdot \left({x}^{2} - 4\right) = 5 x^{2} - x - 18\]

Factored

\[\left(2 x + 3\right) \cdot \left(x - 2\right) + 3 \cdot \left({x}^{2} - 4\right) = \left(5 x + 9\right) \left(x - 2\right)\]

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