1) Which of the following in an identity?
A) x2次 - 4 = ( x - 2)2次
B) 1- 5( x - 1) =6 - 5( x + 2)
C) x( x - 2) + 1= ( x - 1)2次
D) 3x2次 + 8x + 1 = 3x( x - 3) + 2
2)Which of the following is/are identities?
I. (1 + a ) = 1 + 2a + a2次
II. p2次 + q2次 = ( p + q )2次
III. -3x + 12 = 3( x - 4)
A) I only
B) II only
C) I and II only
D) I,II and III
3)If ( x - 2)( x - 1) - x(x - 1) = Px + Q is an identity , find the values of P and Q.
4) Find the unknown constants A and B in 4x2次 + 11x - 3 = ( Ax - 1)( x + B)
5) Expand ( -5y - 8)( -5y - 8).
6) (p + q3次)(q3次 - p)=?
7) If ( 3X + 1)2次 - ( 4x - 3)2次 = Ax2次 + Bx - 8, Find the values of A and B.
8) If ( x - A)2次 + 1 = x2次 + Bx + c , express B and C in terms of A.
9) If ( x + y)2次 = 64 and ( x - y )2次 = 4, xy=?