Expand (3x - y)⁴ using Pascal's Triangle. A) -81x⁴ + 108x³y - 54x²y² + 12xy³ - y⁴ B) 81x⁴ - 108x³y + 54x²y² - 12xy³ + y⁴ C) 81x⁴ + 108x³y + 54x²y² + 12xy³ + y⁴ D) 81x⁴ - 27x³y + 9x²y² - 3xy³ + y⁴

Question

Quizplus · Accepted Answer

The correct expansion using Pascal's Triangle coefficients (1, 14, 91, 364, 1001, 2002, 3003, 3432, 3003, 2002, 1001, 364, 91, 14, 1) and the binomial theorem results in alternating signs due to the negative term (-y), starting with a positive sign for the highest degree of x term.

Expand (3x - Y)4 Using Pascal's Triangle

Expand (3x - Y)⁴ Using Pascal's Triangle