(x2 - 6x )2 -8 ( x2-6x +8 ) -64 factorize the following ploynomials.
Answers
Answered by
51
Step-by-step explanation:
(x^2-6x )^2 - 8 ( x^2 -6x +8) -64
put x^2 -6x = m
m^2 - 8 (m +8) - 64
m^2 - 8 m - 64 - 64
m^2 - 8 m - 128
m ^ 2 - 16 m + 8 m - 128
m (m - 16 ) + 8 ( m - 16)
(m - 16) (m +8)
resubstitute the value of m
(x^2 - 6x -16) ( x^2 - 6x +8)
(x^2 -8 x +2x -16) (x^2-4x -2x +8)
[ x (x -8) +2 (x-8)] [ x (x -4) -2 (x -4)]
(x-8) (x+2) (x-4) (x-2)
Answered by
3
Step-by-step explanation:
my answer is (x-16) (x+8)
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