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Factorise the following : (i) 9a^(2)-b^...

Factorise the following : `(i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2)` `(v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y` `(ix) x^(8)-256 " " (x) x^(8)-81y^(8)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) (3a+b)(3a-b) " " (ii) x(9x+1)(9x-1) " " (iii) x(x+7y)(x-7y)`
(iv) `(a+b-c)(a-b+c) " " (v) (x-y)(x-y+1)(x-y-1) " " (vi) (x+1)(x-1)(y+1)(y-1)`
`(vii)-4(6a-b)(a-6b) " " (viii) xy(y^(2)+x^(2))(y+x)(y-x) " " (ix) (x^(4)+16)(x^(2)+4)(x+2)(x-2)`
`(x) (x^(4)+9y^(4))(x^(2)+3y^(2))(x^(2)-3y^(2))`
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