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12-x
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12-x
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9\times \frac{\left(\sqrt{12-x}\right)^{2}}{3^{2}}
To raise \frac{\sqrt{12-x}}{3} to a power, raise both numerator and denominator to the power and then divide.
\frac{9\left(\sqrt{12-x}\right)^{2}}{3^{2}}
Express 9\times \frac{\left(\sqrt{12-x}\right)^{2}}{3^{2}} as a single fraction.
\frac{9\left(12-x\right)}{3^{2}}
Calculate \sqrt{12-x} to the power of 2 and get 12-x.
\frac{9\left(12-x\right)}{9}
Calculate 3 to the power of 2 and get 9.
12-x
Cancel out 9 and 9.
9\times \frac{\left(\sqrt{12-x}\right)^{2}}{3^{2}}
To raise \frac{\sqrt{12-x}}{3} to a power, raise both numerator and denominator to the power and then divide.
\frac{9\left(\sqrt{12-x}\right)^{2}}{3^{2}}
Express 9\times \frac{\left(\sqrt{12-x}\right)^{2}}{3^{2}} as a single fraction.
\frac{9\left(12-x\right)}{3^{2}}
Calculate \sqrt{12-x} to the power of 2 and get 12-x.
\frac{9\left(12-x\right)}{9}
Calculate 3 to the power of 2 and get 9.
12-x
Cancel out 9 and 9.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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