Question

a .xy-[yz-zx-{yx-(3y-xy)-(xy-zy)

b.3-[x-{2y-(5x+y-3)+2x² }-(x²-3y)]

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Answer 1

a. xy-[yz-zx-{yx-3y+xz-xy+zy}]

xy-[yz-zx-yx+3y-xz+xy-zy]

xy-yz+xz+yx-3y+xz+xy-zy

3xy-2yz+2xz-3y

b. 3-[x-{2y-(5x+y-3)2×2} - [ 2x-3y]

=3-[x-{2y-(5x+y-3)4} - [2x-3y]

=3-[x-{2y-(20x+4y-12)} -2x+3y

=3-[x-{2y-20x-4y+12}] - 2x+3y

=3-[x -[-2y-20x+12] - 2x +3y

= 3 - [ x + 2y +20x -12 ] -2x+3y

= 3 -x - 2y -20x + 12 -2x +3y

= 15 - 23x + y

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Answer 2

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Question :

$\\ \blue\bigstar \rm {(a) \: xy - (yz - zx - (yx - (3y - xy) - (xy - zy)}$

$\blue \bigstar \rm{(b) \: 3 - (x - (2y - (5x + y - 3) + 2 {x}^{2} ) - ( {x}^{2} - 3y)}$

Solution :

$\bf \: (a) \: xy - (yz - zx - (yx - (3y - xy) - (xy - zy)$

$\\ \implies \sf \: xy - (yz - zx - (yx - (3y - xy) - (xy - zy)$

$\\ \implies \sf \: xy - (yz - zx - (yx - (3y - xy) - xy + zy$

$\\ \implies \sf \: xy - (yz - zx - (yx - 3y - xy - xy + zy$

$\\ \implies\sf\ : xy-(yz-zx-(yx-3y-2xy+zy)$

$\\ \implies\sf{ xy-(yz-zx-yx+3y+2xy-zy) }$

$\\ \implies\sf{xy-(-zx+3y+xy)}$

$\\ \implies\sf{xy+zx-3y-xy}$

$\\ \implies\sf{zx-3y}$

➡ Answer will be zx-3y

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$\\ \bf{(2) 3-(x-(2y-(5x+y-3) +2x²)-(x²-3y)}$

$\\ \implies\sf{ 3-(x-(2y-(5x+y-3)+2x²-x²+3y}$

$\\ \implies\sf{3-(x-(2y-(5x+y-3)+x²+3y}$

$\\ \implies\sf{3-(x-(2y-5x-y+3+x²+3y}$

$\\ \implies\sf{3-(x-(y-5x+x²+2y) }$

$\\ \implies\sf{3-(x-y+5x-x²-2y)}$

$\\ \implies\sf{3-(6x-3y-x²)}$

$\\ \implies\sf{3-6x+3y+3x²}$

$\\ \implies\sf{3x²+3y-6x+3}$

➡ Answer will be 3x²-6x+3y+3