Question

factorise it plz fast pppp

Answer 1

( 6a - 5b )^2 - 9( a - 2b )^2



( 6a - 5b )^2 - [ 3( a - 2b ) ]^2

( 6a - 5b )^2 - ( 3a - 6b )^2






$\boxed{ \bold{ \underline{ \: ( x+ y)(x - y) = {x}^{2} - {y}^{2} }}}$



So, Comparing our formed equation with formula,


=> ( 6a - 5b )^2 - ( 3a - 6b )^2





In the equation, we can assume ( 6a - 6b ) as x and ( 3a - 6b ) as y

Now,

Applying formula,



=> ( 6a - 5b + 3a - 6b ) ( 6a - 5b - 3a + 6b )


=> ( 6a + 3a - 5b - 6b ) ( 6a - 3a - 5b + 6b )


=> ( 9a - 11b ) ( 3a + b )






Hence,
$(6a - 5b)^{2} - 9(a - 2b) ^{2} = (9a - 11b)(3a + b)$