Factorise: 4(x - y)^2 - 12(x - y) (x + y) + 9(x + y)^2
Answers
Answered by
22
4( x - y)^2 - 12( x - y)( x + y) + 9( x + y)^2
4(x^2 + y^2 - 2xy) - 12(x^2 - y^2) + 9(x^2 + y^2 + 2xy)
4x^2 + 4y^2 - 8xy - 12x^2 + 12y^2 + 9x^2 + 9y^2 + 18xy
4x^2 - 12x^2 + 9x^2 + 4y^2 + 12y^2 + 9y^2 - 8xy + 18xy
x^2 + 25y^2 + 10xy
4(x^2 + y^2 - 2xy) - 12(x^2 - y^2) + 9(x^2 + y^2 + 2xy)
4x^2 + 4y^2 - 8xy - 12x^2 + 12y^2 + 9x^2 + 9y^2 + 18xy
4x^2 - 12x^2 + 9x^2 + 4y^2 + 12y^2 + 9y^2 - 8xy + 18xy
x^2 + 25y^2 + 10xy
Similar questions