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64x^{2}-100
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64x^{2}-100
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\left(8x\right)^{2}-10^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
8^{2}x^{2}-10^{2}
Expand \left(8x\right)^{2}.
64x^{2}-10^{2}
Calculate 8 to the power of 2 and get 64.
64x^{2}-100
Calculate 10 to the power of 2 and get 100.
\left(8x\right)^{2}-10^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
8^{2}x^{2}-10^{2}
Expand \left(8x\right)^{2}.
64x^{2}-10^{2}
Calculate 8 to the power of 2 and get 64.
64x^{2}-100
Calculate 10 to the power of 2 and get 100.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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