Algebra Questions and Answers for Competitive Exams

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

If a, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is : 

If a-6b = 3 then the value of a³-216b³-54ab is : 

if a³b = abc = 180, a, b, c are positive integers, then the value of c is 

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

If for two real constants a and b the expression ax³+3x²-8x+b is exactly divisible by (x+2) and (x-2), then 

Find the minimum value of x which the expression  
x³-7x²+11x - 5 ≥ 0.

If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x²+y²-z²+2xy is : 

Find the value of a and b if (x-1) and (x+1) are factors of x⁴+ax³-3x²+2x+b

If x²+y²-4x-4y+8=0, then the value of x-y is: