Question

Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3?

Answer 1

Answer:

[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =

(2x2 + 5x) + [(4x2 – 4x) + 5x3]

Step-by-step explanation:

Answer 2

Answer:

[(2x^2 + 5x) + (4x^2 – 4x)] + 5x^3 = (2x^2 + 5x) + [(4x^2 – 4x) + 5x^3]

Step-by-step explanation:

The associative property of addition states: (A +B) + C = A + (B + C).  That means, it doesn't matter which addition you make first, the final result remains the same. In this problem, A = (2x^2 + 5x), B = (4x^2 – 4x) and C = 5x^3. So, adding A to B and its result to C is the same as adding B to C and its result to A.