The value of `(a+b)^(2)` `-` `(a-b)^(2)` is

What is the value of {((a+b)^(2) - (a^(2) +b^(2)))/((a+b)^(2) - (a-b)^(2))}?

If y=f(x)=ax+b is a tangent to circle x^2+y^2+2x+2y-2=0 then the value of (a+b)^2 +2(a-b)(a+b+1) is equal to

If a= ^(20)C_(0) + ^(20)C_(3) + ^(20)C_(6) + ^(20)C_(9) + "…..", b = ^(20)C_(1) + ^(20)C_(4) + ^(20)C_(7) + "… and c = ^(20)C_(2) + ^(20)C_(5) + ^(20)C_(8) + "…..", then Value of (a-b)^(2) + (b-c)^(2) + (c-a)^(2) is

If a,b,c be in arithmetic progession, then the value of (a+2b-c) (2b+c-a) (a+2b+c), is

If a, b, c are in G.P. and b-c, c-a, a-b are in H.P. then find the value of ((a+b+c)^(2))/(b^(2)) .

Let A= [[a,b,c],[b,c,a],[c,a,b]] is an orthogonal matrix and abc = lambda (lt0). The value a^(2) b^(2) + b^(2) c^(2) + c^(2) a^(2) , is

Find the minimum value of (a+1/a)^(2) +(b+1/b)^(2) where a gt 0, b gt 0 and a+b = sqrt(15)

If a=2 and b=-2, find the value of : (i) a^(2)+b^(2) (ii) a^(2)+ab+b^(2) (iii) a^(2)-b^(2)

If (a^(2)+b^(2))^(3) = (a^(3)+b^(3))^(2) and ab ne 0 then the numerical value of (a)/(b)+ (b)/(a) is equal to-

If a+b=7 and ab=12 find the value of a^(2)-ab+b^(2) .