Question

Which expression is equivalent to 6x3 – 5x2y – 24xy2 + 20y3?

A. x²(6x - 5y) + 4y2(6x + 5y)
B. 2(6x - 5y) + 4y(6x - 5y)
C. x2(6x - 5y) – 4y2(6x + 5y)
D. x²(6x - 5y) - 4y?(6x - 5y)

Answer 1

x²(6x - 5y) - 4y²(6x - 5y)

Explanation:

6x³ - 5x²y - 24xy² + 20y³ = x²(6x - 5y) - 4y²(6x - 5y)

6x³ - 5x²y: The common factor is x², so 6x³ ÷ x² = 6x and -5x²y ÷ x² = -5y

Therefore, 6x³ - 5x²y = x²(6x - 5y)

- 24xy² + 20y³: The common factor is -4y², so -24xy² ÷ -4y² = 6x and dividing + 20y³ ÷ -4y² = - 5y

Therefore, - 24xy² + 20y³ = -4y²(6x - 5y)