Algebraic Expressions and Operations

Simplify the following: (3x + 5y) + (8x - y - 9)

Simplify the following: (12mn - 4p) + (6 + 7p) - (10mn + p - 2)

Simplify the following: 8a + a =

Simplify the following: (4xy + 5k) - (-3k + 7) + (13xy - k)

Simplify the following: fg - (9mn - fg) + (3mn - fg)

Answer explanation

First, distribute the negative sign: fg - 9mn + fg + 3mn - fg. Combine like terms: fg - fg + fg = fg, and -9mn + 3mn = -6mn. The simplified expression is fg - 6mn.