Question

B) Show that the polynomials A = 3x+4y-5z, B=x-2y + 4z ard
C = 2x+y=3z satisfy the associative law. with respect to addition
[Hint : A+(B+C) = (A +B) +C]​

Answer 1

Answer :-

taking ,

• A = 3x+4y-5z,
• B=x-2y + 4z
• C = 2x+y - 3z

we get,

→ A + (B + C) = (A + B) + C

→ (3x + 4y - 5z) + (x - 2y + 4z + 2x + y - 3z) = (3x + 4y - 5z + x - 2y + 4z) + (2x + y - 3z)

→ (3x + 4y - 5z) + (3x - y + z) = (4x + 2y - z) + (2x + y - 3z)

→ 3x + 3x + 4y - y - 5z + z = 4x + 2x + 2y + y - z - 3z

→ 6x + 3y - 4z = 6x + 3y - 4z

→ LHS = RHS (Satisfied) .

Learn more :-

Simplified form of (-3xy) (5x – 2y)

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