(x-1)(x+2)^2-(x-1)^2(x+2)

asked by guest
on Jan 12, 2025 at 6:18 pm



You asked:

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

MathBot Answer:

Evaluated



\(\displaystyle \left(x - 1\right) {\left( x + 2 \right)}^{2} - {\left( x - 1 \right)}^{2} \left(x + 2\right) = - \left(x - 1\right)^{2} \left(x + 2\right) + \left(x - 1\right) \left(x + 2\right)^{2} \)

Expanded

\[\left(x - 1\right) {\left( x + 2 \right)}^{2} - {\left( x - 1 \right)}^{2} \left(x + 2\right) = 3 x^{2} + 3 x - 6\]

Factored

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

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