Simplify: xy - yz - zx - yx - (3y - xz) - (xy - zy) - Vidyadip

Question

Simplify:
xy - yz - zx - {yx - (3y - xz) - (xy - zy)}

✓

Answer

Removing the innermost grouping symbol ( ) first, then { } and then [ ], we have:
xy - [yz - zx - {yx - (3y - xz) - (xy - zy)}]
= xy - [yz - zx - {yx - 3y + xz - xy + zy}]
= xv - [yz - zx - {-3y + xz + zy}]
= xy - [yz - zx + 3y - xz - zy]
= xy - [-2xz + 3y]
= xy + 2xz - 3y

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