1.

Factorise : `(i) 36x^(2)+60xy+25y^(2) (ii) (49)/(9)x^(2)-(35)/(6)xy+(25)/(16)y^(2)`

Answer» `(i) 36x^(2)+60xy+25y^(2)`
We can write it `(6x)^(2)+2xx6xx5y+(5y)^(2)=(6x+5y)^(2)`
`=(6x+5y)(6x+5y)`
(ii) `(49)/(9)x^(2)-(35)/(6)xy+(25)/(16)y^(2)`
We can write it `((7)/(3)x)^(2)-2xx(7)/(3)x xx(5)/(4)y+((5)/(4)y)^(2)`
`=((7)/(3)x-(5)/(4)y)^(2)=((7)/(3)x-(5)/(4)y)((7)/(3)x-(5)/(4)y)`


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