Question

without removing brackets at any stage factorize

2y(y+z)-(x+y)(x+z)

Answer 1

$[ (2 y + 2 z) y ] - [ (x + y) (x + z) ]\\ \\=[ (2y + 2z) y + xy - yz ] - [ (x + y) (x + z) +xy - yz]\\ \\=[ (2y + 2z) y + y(x - z) ] - [ (x + y) (x + z) +xy + xz - yz - xz ]\\ \\=[ (2y+2z+x-z) y ] - [ (x + y) (x + z) +x (y+z) - z(x+y) ]\\ \\=[ (x+2y+z) y ] - [ (x + y) (x + z - z) +x (y+z) ]\\ \\=[ (x+2y+z) y ] - [ (x + y) (x) +x (y+z) ]\\ \\=[ (x+2y+z) y ] - [ (x + y+y+z) (x) ]\\ \\=(x+2y+z) (y-x)$

Answer 2

Step-by-step explanation:

The President is indirectly elected by means of an electoral college consisting of the elected members of the Parliament of India and the Legislative assemblies of the States of India and the Union territories of Delhi, and Puducherry.