निम्नलिखित के गुणनखण्ड कीजिए :
(i) `9a^(2)-b^(2)` (ii) `81x^(3)-x` (iii) `x^(2)-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)`

Answer

(i) `(3a+b)(3a-b)` (ii) `x(9x+1)(9x-1)` (iii) `x(x+7y)(x-7y)`
`(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^(4)+9y^(4))(x^(2)+3y^(2))(x^(2)-3y^(2))`