What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

 if $$x^4+{16\over x^4}=15617, x>0$$ then find the value of $$x+{2\over x}$$

What is the product of (x + a) and (x + b)?

If a + b = 1 and a³ + b³ + 3ab = k, then the value of k is

if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

If 15x² – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?