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144x^{14}-169
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144x^{14}-169
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\left(12x^{7}\right)^{2}-169
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 13.
12^{2}\left(x^{7}\right)^{2}-169
Expand \left(12x^{7}\right)^{2}.
12^{2}x^{14}-169
To raise a power to another power, multiply the exponents. Multiply 7 and 2 to get 14.
144x^{14}-169
Calculate 12 to the power of 2 and get 144.
\left(12x^{7}\right)^{2}-169
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 13.
12^{2}\left(x^{7}\right)^{2}-169
Expand \left(12x^{7}\right)^{2}.
12^{2}x^{14}-169
To raise a power to another power, multiply the exponents. Multiply 7 and 2 to get 14.
144x^{14}-169
Calculate 12 to the power of 2 and get 144.
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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
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