Evaluate
24\sqrt{2}+44\approx 77.941125497
Expand
24 \sqrt{2} + 44 = 77.941125497
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4\left(\left(\sqrt{2}\right)^{2}+6\sqrt{2}+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+3\right)^{2}.
4\left(2+6\sqrt{2}+9\right)
The square of \sqrt{2} is 2.
4\left(11+6\sqrt{2}\right)
Add 2 and 9 to get 11.
44+24\sqrt{2}
Use the distributive property to multiply 4 by 11+6\sqrt{2}.
4\left(\left(\sqrt{2}\right)^{2}+6\sqrt{2}+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+3\right)^{2}.
4\left(2+6\sqrt{2}+9\right)
The square of \sqrt{2} is 2.
4\left(11+6\sqrt{2}\right)
Add 2 and 9 to get 11.
44+24\sqrt{2}
Use the distributive property to multiply 4 by 11+6\sqrt{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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