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ICSE Class 9 Answered

1, (a^2-a)(4a^2-4a-5)-6
Asked by pereiracalida | 02 Jun, 2017, 10:26: PM
answered-by-expert Expert Answer
begin mathsize 14px style left parenthesis straight a squared minus straight a right parenthesis left parenthesis 4 straight a squared minus 4 straight a minus 5 right parenthesis minus 6
equals left parenthesis straight a squared minus straight a right parenthesis left square bracket 4 left parenthesis straight a squared minus straight a right parenthesis minus 5 right square bracket minus 6
Let space straight a squared minus straight a equals straight x
Then comma space we space have
straight x left parenthesis 4 straight x minus 5 right parenthesis minus 6
equals 4 straight x squared minus 5 straight x minus 6
equals 4 straight x squared minus 8 straight x plus 3 straight x minus 6
equals 4 straight x left parenthesis straight x minus 2 right parenthesis plus 3 left parenthesis straight x minus 2 right parenthesis
equals left parenthesis straight x minus 2 right parenthesis left parenthesis 4 straight x plus 3 right parenthesis
equals left parenthesis straight a squared minus straight a minus 2 right parenthesis left parenthesis 4 straight a squared minus 4 straight a plus 3 right parenthesis
equals left parenthesis straight a squared minus 2 straight a plus straight a minus 2 right parenthesis left parenthesis 4 straight a squared minus 4 straight a plus 3 right parenthesis

equals left square bracket straight a left parenthesis straight a minus 2 right parenthesis plus 1 left parenthesis straight a minus 2 right parenthesis right square bracket left parenthesis 4 straight a squared minus 4 straight a plus 3 right parenthesis
equals left parenthesis straight a minus 2 right parenthesis left parenthesis straight a plus 1 right parenthesis left parenthesis 4 straight a squared minus 4 straight a plus 3 right parenthesis end style
Answered by Rashmi Khot | 03 Jun, 2017, 09:01: PM

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