5-(3a^2)(6-3a^2+2a) how to solve this ?
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43
$ 5 - (3a^2 - 2a) (6 - 3a^2 + 2a) $
So,
$ 5 - (3a^2 - 2a) (6 - 3a^2 + 2a) $
$ = 5 - m (6 - m) $,
where $ m = 3a^2 - 2a $
$ = 5 - 6m + m^2 $
$ = m^2 - 6m + 5 $
$ = m^2 - m - 5m + 5 $
$ = m (m - 1) - 5 (m - 1) $
$ = (m - 1) (m - 5) $
$ = (3a^2 - 2a - 1) (3a^2 - 2a - 5) $,
since $ m = 3a^2 - 2a $
$ =( (3a^2 - 3a + a - 1) $
$ (3a^2 + 3a - 5a - 5))$
$ = (3a (a - 1) + 1 (a - 1))$
$ (3a (a + 1) - 5 (a + 1)) $
$ = (a - 1) (3a + 1) (a + 1) (3a - 5) $,
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Answered by
23
Step-by-step explanation:
it's given above
hope it's helpful for you
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