factorise 12-(a+a^2) (8-a-a^2)
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Answer:
Step-by-step explanation:
Put u = x² + x.
Then
12 - ( x + x² ) ( 8 - x - x² )
= 12 - u ( 8 - u )
= u² - 8u + 12
= ( u - 2 ) ( u - 6 )
= ( x² + x - 2 ) ( x² + x - 6 )
= ( x - 1 ) ( x + 2 ) ( x - 2 ) ( x + 3 )
: )