X2 16y2 25x2 30xy 9y2 4u2 4uv v2Solution27 x2 16y2 x2

X^2 - 16y^2 25x^2 - 30xy + 9y^2 4u^2 + 4uv + v^2

Solution

27. x2 -16y2 = x2 –(4y)2 = (x+4y)(x-4y) [ as (a2 –b2) = (a+b)(a-b)]

29.   25x2 -30xy + 9y2 = (5x)2 -2*5x*3y + (3y)2 = (5x-3y)2 = (5x-3y)(5x-3y) [ as (a2 -2ab +b2 ) = (a-b)2 ].

31.    4u2 +4uv + v2 = (2u)2 +2*2u*v + v2 = (2u +v)2 = (2u+v)(2u+v) [as (a2 +2ab +b2 ) = (a+b)2 ].

 X^2 - 16y^2 25x^2 - 30xy + 9y^2 4u^2 + 4uv + v^2Solution27. x2 -16y2 = x2 –(4y)2 = (x+4y)(x-4y) [ as (a2 –b2) = (a+b)(a-b)] 29. 25x2 -30xy + 9y2 = (5x)2 -2*5x*

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