( 6 - 4 ( \lambda - 1 ) ( \lambda + 2 )
Evaluate
14-4\lambda -4\lambda ^{2}
Expand
14-4\lambda -4\lambda ^{2}
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6-4\left(\lambda -1\right)\left(\lambda +2\right)
Multiply -1 and 4 to get -4.
6+\left(-4\lambda +4\right)\left(\lambda +2\right)
Use the distributive property to multiply -4 by \lambda -1.
6-4\lambda ^{2}-8\lambda +4\lambda +8
Apply the distributive property by multiplying each term of -4\lambda +4 by each term of \lambda +2.
6-4\lambda ^{2}-4\lambda +8
Combine -8\lambda and 4\lambda to get -4\lambda .
14-4\lambda ^{2}-4\lambda
Add 6 and 8 to get 14.
6-4\left(\lambda -1\right)\left(\lambda +2\right)
Multiply -1 and 4 to get -4.
6+\left(-4\lambda +4\right)\left(\lambda +2\right)
Use the distributive property to multiply -4 by \lambda -1.
6-4\lambda ^{2}-8\lambda +4\lambda +8
Apply the distributive property by multiplying each term of -4\lambda +4 by each term of \lambda +2.
6-4\lambda ^{2}-4\lambda +8
Combine -8\lambda and 4\lambda to get -4\lambda .
14-4\lambda ^{2}-4\lambda
Add 6 and 8 to get 14.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}