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144x^{2}-81
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144x^{2}-81
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\left(12x\right)^{2}-9^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
12^{2}x^{2}-9^{2}
Expand \left(12x\right)^{2}.
144x^{2}-9^{2}
Calculate 12 to the power of 2 and get 144.
144x^{2}-81
Calculate 9 to the power of 2 and get 81.
\left(12x\right)^{2}-9^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
12^{2}x^{2}-9^{2}
Expand \left(12x\right)^{2}.
144x^{2}-9^{2}
Calculate 12 to the power of 2 and get 144.
144x^{2}-81
Calculate 9 to the power of 2 and get 81.
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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
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