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If a u2 – 3v2 and b = 2uv + v2 evaluate (2a – b)(a…

If a u2 – 3v2 and b = 2uv + v2 evaluate (2a – b)(a – b2), when u = 1 and v = -1
  • A.
    9
  • B.
    15
  • C.
    27
  • D.
    33
Correct Answer: Option A
Explanation

a = u2 – 3y2 = (1)2 – 3(-1) = -2
b = 2uu + v2 + v2
= 2(1)(-1) + (-1)2 = -1
∴ 2(2a – b)(a – b∴) = [2(-2) – 1](-2 – (-1)2)
= -3 – 3
= 9