2(x+1)(x+4)-(x+1)(x+2)

asked by guest
on Oct 18, 2024 at 1:39 am



You asked:

Evaluate the expression: \(2 \cdot \left(x + 1\right) \cdot \left(x + 4\right) - \left(x + 1\right) \cdot \left(x + 2\right)\)

MathBot Answer:

Evaluated



\(\displaystyle 2 \cdot \left(x + 1\right) \cdot \left(x + 4\right) - \left(x + 1\right) \cdot \left(x + 2\right) = - \left(x + 1\right) \left(x + 2\right) + 2 \left(x + 1\right) \left(x + 4\right) \)

Expanded

\[2 \cdot \left(x + 1\right) \cdot \left(x + 4\right) - \left(x + 1\right) \cdot \left(x + 2\right) = x^{2} + 7 x + 6\]

Factored

\[2 \cdot \left(x + 1\right) \cdot \left(x + 4\right) - \left(x + 1\right) \cdot \left(x + 2\right) = \left(x + 1\right) \left(x + 6\right)\]

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