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Online Algebra Calculator
Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc. only. To do this job, it is not useful to download the whole application from a web site.
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ratsubst
Run Example
(%i1)Z0: (p1 - p2)/SE; p1 - p2 (%o1) ------- SE (%i2) Z1 : ratsubst(sqrt(p*(1-p)*((1/n1)+(1/n2))),SE,Z0); p2 - p1 (%o2) - ------------------------- 1 1 sqrt((-- + --) (1 - p) p) n2 n1 (%i3) Z2 : ratsubst((p1*n1+p2*n2)/(n1+n2),p,Z1); p2 - p1 (%o3) - -------------------------------------------------------------------- 2 2 2 2 n2 (p2 - p2) + n1 n2 ((2 p1 - 1) p2 - p1) + n1 (p1 - p1) sqrt(- ------------------------------------------------------------) 2 2 n1 n2 + n1 n2 (%i4) Z3 : ratsubst(x*p2,p1,Z2); (%o4) p2 x - p2 ----------------------------------------------------------------------------- 2 2 2 2 2 2 p2 (n1 x + 2 n1 n2 x + n2 ) + p2 (- n1 x + n1 n2 (- x - 1) - n2 ) sqrt(- ---------------------------------------------------------------------) 2 2 n1 n2 + n1 n2 (%i5) solve(Z3,x); (%o5) [x = 1] (%i6)
Run Example
eq: ratsubst(sin(a)^2,1-cos(a)^2,trigexpand(cos(9*a))); 8 6 4 (%o1) 256 cos(a) sin (a) - 448 cos(a) sin (a) + 240 cos(a) sin (a) 2 - 40 cos(a) sin (a) + cos(a) (%i2)
Run Example
ff=x^3+x^6+2; 6 3 (%o1) ff = x + x + 2 (%i2) ratsubst( 5, x^2, ff); (%o2) ff (%i3)
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