(%i1) factor(10!); 8 4 2(%o1) 2 3 5 7(%i2) expand ((x + y)^6); 6 5 2 4 3 3 4 2 5 6(%o2) y + 6 x y + 15 x y + 20 x y + 15 x y + 6 x y + x(%i3) factor (x^6 - 1); 2 2(%o3) (x - 1) (x + 1) (x - x + 1) (x + x + 1)
(%i1) u: expand ((x + y)^6); 6 5 2 4 3 3 4 2 5 6(%o1) y + 6 x y + 15 x y + 20 x y + 15 x y + 6 x y + x(%i2) diff (%, x); 5 4 2 3 3 2 4 5(%o2) 6 y + 30 x y + 60 x y + 60 x y + 30 x y + 6 x(%i3) integrate (1/(1 + x^3), x); 2 x - 1 2 atan(-------) log(x - x + 1) sqrt(3) log(x + 1)(%o3) - --------------- + ------------- + ---------- 6 sqrt(3) 3
(%i1) linsolve ([3*x + 4*y = 7, 2*x + a*y = 13], [x, y]); 7 a - 52 25(%o1) [x = --------, y = -------] 3 a - 8 3 a - 8(%i2) solve (x^3 - 3*x^2 + 5*x = 15, x);(%o2) [x = - sqrt(5) %i, x = sqrt(5) %i, x = 3]
(%i1) eq_1: x^2 + 3*x*y + y^2 = 0$(%i2) eq_2: 3*x + y = 1$(%i3) solve ([eq_1, eq_2]); 3 sqrt(5) + 7 sqrt(5) + 3(%o3) [[y = - -------------, x = -----------], 2 2 3 sqrt(5) - 7 sqrt(5) - 3 [y = -------------, x = - -----------]] 2 2
Hello, my name is Gregory Brown. I am the founder of Mendicant University, a free online school for software developers.
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