It is known that x2 + 2kx + 9 is a complete square expression, and the value of (K + 2) (K-2) (K2 + 4) can be obtained Wrong, it should be We know that X & # 178; + 2kx + 9 is a complete square, Find the value of (K + 2) (K-2) (K & # 178; + 4)

It is known that x2 + 2kx + 9 is a complete square expression, and the value of (K + 2) (K-2) (K2 + 4) can be obtained Wrong, it should be We know that X & # 178; + 2kx + 9 is a complete square, Find the value of (K + 2) (K-2) (K & # 178; + 4)


X2 + 2kx + 9 is a complete square
So x2 + 2kx + 9 = (x ± 3) &# 178; = x & # 178; ± 6x + 9
So 2K = ± 6
k=±3
(k+2)(k-2)(k2+4)
=(k²-4)(k²+4)
=k^4-16
=(±3)^4-16
=81-16
=65