Evaluate
2-4\lambda +\lambda ^{2}-\lambda ^{3}
Expand
2-4\lambda +\lambda ^{2}-\lambda ^{3}
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\lambda ^{2}-\lambda ^{3}-\left(-2\left(1-\lambda \right)+2\lambda \right)
Use the distributive property to multiply 1-\lambda by \lambda ^{2}.
\lambda ^{2}-\lambda ^{3}-\left(-2+2\lambda +2\lambda \right)
Use the distributive property to multiply -2 by 1-\lambda .
\lambda ^{2}-\lambda ^{3}-\left(-2+4\lambda \right)
Combine 2\lambda and 2\lambda to get 4\lambda .
\lambda ^{2}-\lambda ^{3}+2-4\lambda
To find the opposite of -2+4\lambda , find the opposite of each term.
\lambda ^{2}-\lambda ^{3}-\left(-2\left(1-\lambda \right)+2\lambda \right)
Use the distributive property to multiply 1-\lambda by \lambda ^{2}.
\lambda ^{2}-\lambda ^{3}-\left(-2+2\lambda +2\lambda \right)
Use the distributive property to multiply -2 by 1-\lambda .
\lambda ^{2}-\lambda ^{3}-\left(-2+4\lambda \right)
Combine 2\lambda and 2\lambda to get 4\lambda .
\lambda ^{2}-\lambda ^{3}+2-4\lambda
To find the opposite of -2+4\lambda , find the opposite of each term.
Examples
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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