The GCD of x2 - 2xy + y2 and x4 - y4 is
1
x + y
x - y
x2 - y2
On dividing we get
(x - 5) (x - 3)
(x - 5) (x + 3)
(x + 5) (x - 3)
(x + 5) (x + 3)
The system of equations x - 4y = 8, 3x - 12y = 24
has infinitely many solutions
has no solution
has a unique solution
may or may not have a solution
The square root of 121 x4 y8 z6 (l - m)2 is
11 x2 y4 z4|l - m|
11x4 y4 |z3 (l - m)|
11 x2 y4 z6 |(l - m)|
11x2 y4 |z3 (l - m)|
If is added with , then the new expression is
a2 + ab + b2
a2 - ab + b2
a3 + b3
a3 - b3
The square root of x2 + y2 + z2 - 2xy + 2yz - 2zx is
|x + y - z|
|x - y + z|
|x + y + z|
|x - y - z|
GCD of (x3 + 1) and x4 - 1 is
x3 - 1
x3 + 1
x + 1
x - 1
A system of two linear equations in two variables is inconsistent, if their graphs
coincide
intersect only at a point
do not intersect at any point
cut the x-axis
The LCM of x3 - a3 and (x - a)2 is
(x3 - a3) (x + a)
(x3 - a3) (x - a)2
(x - a)2 (x2 + ax + a2)
(x + a)2 (x2 + ax + a2)
The remainder when x2 - 2x + 7 is divided by x + 4 is
28
29
30
31