Question

Select the correct option from the given alternatives:

`|("b" + "c", "c" + "a", "a" + "b"),("q" + "r", "r" + "p", "p" + "q"),(y + z, z + x, x + y)|` = 

Options

• `2|("c", "b", "a"),("r", "q", "p"),(z, y, x)|`

• `2|("b", "a", "c"),("q", "p", "r"),(y, x, z)|`

• `2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`

• `2|("a", "c", "b"),("p", "r", "q"),(x, z, y)|`

Answer 1

`2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`

Explanation;

Let D = `|("b" + "c", "c" + "a", "a" + "b"),("q" + "r", "r" + "p", "p" + "q"),(y+ z, z + x, x + y)|`

D = `|(2("a" + "b" + "c"), "c" + "a", "a" + "b"),(2("p" + "q" + "r"), "r" + "p", "p" + "q"),(2(x + y + z), z + x, x + y)|`  ...[By C₁ + C₂ + C₃]

D = `2|("b", "c" + "a", "a" + "b"),("q", "r" + "p", "p" + "q"),(y, z + x, x + y)|`   ...[By C₁ – C₂]

D = `2|("b", "c" + "a", "a"),("q", "r" + "p", "p"),(y, z + x, x)|`   ...[By C₃ – C₁]

D = `2|("b", "c", "a"),("q", "r", "p"),(y, z, x)|`   ...[By C₂ – C₃]

D = `-2|("b", "a", "c"),("q", "p", "r"),(y, x, z)|`  ...[By C₂ ↔ C₃]

D = `2|("a", "b", "c"),("p", "q", "r"),(x, y, z)|`  ...[By C₁ ↔ C₂]