DeterminantHard

Question

Let ᐃ = , then

Options

A.a + b is a factor of ᐃ
B.a + 2b is a factor of ᐃ
C.2a + 3b is a factor of ᐃ
D.a2 is a factor of

Solution

ᐃ =
= a    R2 → R2 - R1
= a(a + b) = a(a + b)
= a(a + b) = a (a + b) (2a + 3b - a - b)  = a(a + b) (a + 2b)

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