Evaluate
4-4k^{2}
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4-4k^{2}
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\left(4\left(-k\right)+4\right)\left(k+1\right)
Use the distributive property to multiply 4 by -k+1.
4\left(-k\right)k+4\left(-k\right)+4k+4
Apply the distributive property by multiplying each term of 4\left(-k\right)+4 by each term of k+1.
-4kk+4\left(-1\right)k+4k+4
Multiply 4 and -1 to get -4.
-4k^{2}+4\left(-1\right)k+4k+4
Multiply k and k to get k^{2}.
-4k^{2}-4k+4k+4
Multiply 4 and -1 to get -4.
-4k^{2}+4
Combine -4k and 4k to get 0.
\left(4\left(-k\right)+4\right)\left(k+1\right)
Use the distributive property to multiply 4 by -k+1.
4\left(-k\right)k+4\left(-k\right)+4k+4
Apply the distributive property by multiplying each term of 4\left(-k\right)+4 by each term of k+1.
-4kk+4\left(-1\right)k+4k+4
Multiply 4 and -1 to get -4.
-4k^{2}+4\left(-1\right)k+4k+4
Multiply k and k to get k^{2}.
-4k^{2}-4k+4k+4
Multiply 4 and -1 to get -4.
-4k^{2}+4
Combine -4k and 4k to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}