Question

Simplify (x-2y)(y-3x) + (x+y)(x-3y) - (y-3x)(4x-5x)​

Answer 1

Step-by-step explanation:

here we have ( x- 2y) (y-3x) +(x+y)

Here we have (x−2y)(y−3x) + (x + y)(x−3y)−(y−3x)(4x−5y)

Re-arranging, we get,(x - 2y)(y - 3x) - (y - 3x)(4x - 5y) + (x + y)(x - 3y)= (y - 3x)[(x - 2y) - (4x - 5y)] + (x + y)(x - 3y)= (y - 3x)(-3x + 3y) + (x + y)(x - 3y)= - 3 (y - 3x)(x - y) + (x + y)(x - 3y)= -3 (xy - y2 - 3x2 + 3xy) + x2 - 3xy + xy - 3y2

= 9x2 + 3y2 - 12xy + x2 - 3y2 - 2xy

= 10x2 - 14xy