If` y=3 x + 6 x^(2) + 10 x^(3) +…` then x =

If y = [ x + 3 + sqrt(x^2 + 6x + 10)]^n then prove that (x^2 + 6x + 10) y_2 + (x + 3) y_1 - n^2y = 0 .

if y=3x+6x^(2)+10x^(3)+............ then the value of x in terms of y is (i) 1-(1-y)^(-(1)/(3))( ii) 1-(1+y)^((1)/(3))( iii) 1+(1+y)^(-(1)/(3))( iv )1-(1+y)^(-(1)/(3))

Divide: (i) 6x^(5) + 18 x^(4) - 3x^(2) by 3x^(2) (ii) 20 x^(3) y + 12 x^(2) y^(2) - 10 xy by 2xy

Find the LCM of 6x ^(2) y ^(3), 8x ^(3) y ^(2) , 12 x ^(4) y ^(3) and 10 x ^(3) y ^(4).

3x - y= 5, 6x - 2y = 10 .