`A = {x : x in N, GCD(x,36) =1, x < 36), B = {y : y in N, G.C.D.(y, 40)=1, y lt 40}` (G.C.D. stands greatest common divisors)

Find the LCM and GCD for the following and verify that p(x) × q(x) = LCM × GCD , 7x^2y, 28xy^2

Let's find G.C.D of the following algebraic expressions. x^2 -1, x^2 - 2x + 1, x^3 + x^2 - 2x

Find the GCD of a^(x) , a^(x + y ) , a^(x+ y + z)

int_(2)^(4) (3x^(2)+1)/((x^(2)-1)^(3))dx = (lambda)/(n^(2)) where lambda, n in N and gcd(lambda,n) = 1 , then find the value of lambda + n

If x + k is the GCD of x^2 -2x - 15 and x^3 + 27 , find the value of k

f(x)={(1-x^n)/(1-x),\ \ \( x!=1, (n-1) at x=1, n in N at x=1

Differentiate the following with respect to x: [ sin^-1 {2^(x+1) 3^x} /[ 1+ (36)^x}]