EASY
Earn 100

Expand: x3+y3+z3-3xyz

Important Questions on Polynomials

MEDIUM
What is the value of (4.6+3.1)2-(4.6-3.1)2?
EASY

Expand : W-92

1. W2-9W+81

2. w2-9W+18

3. W2-18W+81

4. W2-18W-81

EASY
Determine the value of x2+y2 when x3-y3=54, x-y=18  and xy=2.
EASY

What is the simplified value of (2.7)3+(1.3)3(2.7)2-2.7×1.3+(1.3)2?

MEDIUM
Let a,b,c be non-zero real numbers such that a+b+c=0; let q=a2+b2+c2  & r=a4+b4+c4. Then
MEDIUM
Determine the value of m for which 4x+x6+m²4 is a perfect square.
MEDIUM
8.73×8.73×8.73+4.27×4.27×4.278.73×8.73-8.73×4.27+4.27×4.27 is equals to :
EASY
If x-1x=4 then x2+1x2 is equal to:
MEDIUM
If a,b,c are real numbers such that a+b+c=0 and a2+b2+c2=1 , then 3a+5b-8c2+-8a+3b+5c2+5a-8b+3c2 is equal to
HARD
Consider the equation 1+a+b2=31+a2+b2, where a, b are real numbers. Then
MEDIUM
Let x,y,z be non-zero real numbers such that xy+yz+zx=7 and yx+zy+xz=9, then x3y3+y3z3+z3x3-3 is equal to
MEDIUM
If the difference of two numbers is 5 and the difference of their square is 125, then out of the two which is the smaller number?
EASY
If x = 2 + 12 - 1 and y = 2 - 12 + 1, what is the value of x + y?
MEDIUM

If a+b+c=13 and ab+bc+ca=54, then a3+b3+c3-3abc is equal to:

EASY

What is the simplified value of: sin3 21+cos3 19sin 21+cos 19+sin2 69+cos2 71+1sec 69cosec 71 is

MEDIUM
If x+1x=3, then x3+1x3 is equal to:
MEDIUM
Let x=50+713-50-713. Then-
HARD
Let x and y be two 2-digit numbers such that y is obtained by reversing the digits of x. Suppose they also satisfy x2-y2=m2 for some positive integer m. The value of x+y+m is.
HARD
If a, b are natural numbers such that 2013+a2=b2, then the minimum possible value of ab is