Evaluate
\frac{36u^{2}}{25}-1.4641
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\frac{36u^{2}}{25}-1.4641
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\left(1.2u\right)^{2}-1.21^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
1.2^{2}u^{2}-1.21^{2}
Expand \left(1.2u\right)^{2}.
1.44u^{2}-1.21^{2}
Calculate 1.2 to the power of 2 and get 1.44.
1.44u^{2}-1.4641
Calculate 1.21 to the power of 2 and get 1.4641.
\left(1.2u\right)^{2}-1.21^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
1.2^{2}u^{2}-1.21^{2}
Expand \left(1.2u\right)^{2}.
1.44u^{2}-1.21^{2}
Calculate 1.2 to the power of 2 and get 1.44.
1.44u^{2}-1.4641
Calculate 1.21 to the power of 2 and get 1.4641.
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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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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}