Factorise it: x (x-y)^4 +3xy (x-y)^2
Answers
Answered by
5
ARYAN.......PVT.....LTD......
Attachments:
Answered by
14
= > x( x - y )⁴ + 3xy( x - y )²
Taking x( x - y )² out side the brackets as it is Common.
= > x( x- y )² { ( x - y )² + 3y }
By formula,
( a - b )² = a² + b² - 2ab
= > ( x - y )² { ( x² + y² - 2xy ) + 3y }
Opening Brackets and
{ ( x² + y² - 2xy ) + 3y }
= > ( x - y )² { x²+ y² - 2xy + 3y }
Taking x( x - y )² out side the brackets as it is Common.
= > x( x- y )² { ( x - y )² + 3y }
By formula,
( a - b )² = a² + b² - 2ab
= > ( x - y )² { ( x² + y² - 2xy ) + 3y }
Opening Brackets and
{ ( x² + y² - 2xy ) + 3y }
= > ( x - y )² { x²+ y² - 2xy + 3y }
Similar questions