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Factorise the following :3(x^2-5x)^2-2(x^2-5x+5)-6

Answers (1)

Put x² - 5x = p
The given expression becomes 
3p² -2(p + 5) - 6
= 3p² - 2p - 16
= 3p² + 6p - 8p - 16
= 3p(p + 2) - 8(p + 2)
= (p + 2)(3p - 8)
Now replace p with x² - 5x, above becomes
= (x² - 5x + 2)((3x² - 15x - 8)
 

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shubham.krishnan

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