Evaluate
-4
Factor
-4
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\left(-\frac{4+1}{4}\right)\times \frac{3\times 5+1}{5}
Multiply 1 and 4 to get 4.
-\frac{5}{4}\times \frac{3\times 5+1}{5}
Add 4 and 1 to get 5.
-\frac{5}{4}\times \frac{15+1}{5}
Multiply 3 and 5 to get 15.
-\frac{5}{4}\times \frac{16}{5}
Add 15 and 1 to get 16.
\frac{-5\times 16}{4\times 5}
Multiply -\frac{5}{4} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-80}{20}
Do the multiplications in the fraction \frac{-5\times 16}{4\times 5}.
-4
Divide -80 by 20 to get -4.
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
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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}