Factorise the (x+2) (x-3) (x -7) (x-2) + 64.
Attachments:
Answers
Answered by
2
Solution
- (x+2) (x-3) (x-7) (x-2) + 64
- = ( x²- 5x -14) ( x² - 5x + 6) + 64
- = ( m - 14 ) ( m + 6) + 64 . . . . ( putting x² - 5x=m )
- m²- 14 m + 6m - 84 + 64
- m² - 8m - 20
- ( m - 10 ) (m + 2 )
- ( x² - 5x - 10) ( x² - 5x + 2 ) . . ( replace m with x² - 5x)
so your final answer is
- ( x² - 5x - 10 ) (x² - 5x + 2)
Similar questions