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\frac{7+1}{7}k\times \frac{1\times 4+3}{4}p\left(-\frac{1}{2}\right)m
Multiply 1 and 7 to get 7.
\frac{8}{7}k\times \frac{1\times 4+3}{4}p\left(-\frac{1}{2}\right)m
Add 7 and 1 to get 8.
\frac{8}{7}k\times \frac{4+3}{4}p\left(-\frac{1}{2}\right)m
Multiply 1 and 4 to get 4.
\frac{8}{7}k\times \frac{7}{4}p\left(-\frac{1}{2}\right)m
Add 4 and 3 to get 7.
\frac{8\times 7}{7\times 4}kp\left(-\frac{1}{2}\right)m
Multiply \frac{8}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{4}kp\left(-\frac{1}{2}\right)m
Cancel out 7 in both numerator and denominator.
2kp\left(-\frac{1}{2}\right)m
Divide 8 by 4 to get 2.
-kpm
Cancel out 2 and 2.
\frac{7+1}{7}k\times \frac{1\times 4+3}{4}p\left(-\frac{1}{2}\right)m
Multiply 1 and 7 to get 7.
\frac{8}{7}k\times \frac{1\times 4+3}{4}p\left(-\frac{1}{2}\right)m
Add 7 and 1 to get 8.
\frac{8}{7}k\times \frac{4+3}{4}p\left(-\frac{1}{2}\right)m
Multiply 1 and 4 to get 4.
\frac{8}{7}k\times \frac{7}{4}p\left(-\frac{1}{2}\right)m
Add 4 and 3 to get 7.
\frac{8\times 7}{7\times 4}kp\left(-\frac{1}{2}\right)m
Multiply \frac{8}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{4}kp\left(-\frac{1}{2}\right)m
Cancel out 7 in both numerator and denominator.
2kp\left(-\frac{1}{2}\right)m
Divide 8 by 4 to get 2.
-kpm
Cancel out 2 and 2.
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y = 3x + 4
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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}