Math, asked by khushi9d1, 1 year ago

factorise 9(x+y)^2-x^2

Answers

Answered by allysia
210
9(x+y)^2-x^2
= {3 (x+y)}^2 -(x)^2

now, it is in the form of a^2 - b^2
so, by using that identity

{3 (x+y) -x}{3(x+y) + x}
= (3x + 3y - x) (3x + 3y +x)
= (2x + 3y )( 4x + 3y)






realsujaykumar: thkq
allysia: you're welcome
Answered by HappiestWriter012
341
9(x+y)^2-x^2

=[ 3( x + y) ]^2 - x ^ 2

= [ 3( x + y) + x ] [ 3( x + y) - x ]

=[ 4x + 3 y ] [ 2x + 3y ]

Hope helped!
Similar questions