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Factorise the following expressions : ...

Factorise the following expressions :
`(i) ax-ay+bx-by " " (ii) x^(2)-x-ax+a " " (iii) x^(4)+x^(3)+x^(2)+x`
`(iv) 16(a+b)^(2)-4a-4b " " (v) x^(2)+(1)/(x^(2))+2-3x-(3)/(x) " " (vi) x^(2)-((a)/(b)+(b)/(a))x+1`
`(vii) x^(2)+(a-(1)/(a))x-1 " " (viii)ab(x^(2)+y^(2)+xy(a^(2)+b^(2)) " "(ix) (ax+by)^(2)+(bx-ay)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) (x-y)(a+b) " " (ii) (x-1)(x-a) " " (iii) x(x+1)(x^(2)+1)`
(iv)` 4(a+b)(4a+4b-1) " " (v) (x+(1)/(x))(x+(1)/(1)/(x)-3) " "(vi) (x-(a)/(b))(x-(b)/(a))`
`(vii) (a-a)(x-(1)/(a)) " " (viii) (bx+ay)(ax+by) " " (viii) (x^(2)+y^(2))(a^(2)+b^(2))`
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