Question

Is the product of -2x^3 + x – 5 and x^3 – 3x – 4 equal to the product of x^3 – 3x -4 and -2x^3 + x – 5? Explain you answer.

Answer 1

Both expressions are equal to -2 x⁶ + 7x⁴ + 3x³ - 3x² + 11x + 20. This is because of the Commutative property of multiplication. For example, five times three equals three times five. The order in which you perform an operation here does not affect the result.