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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)

Respuesta :

semsee45

Answer:

x²(6x - 5y) - 4y²(6x - 5y)

Step-by-step 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)

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