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?

Question

Mathematics

Blaine Baxter

19 December, 18:54

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?

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Answers (1)

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Lia Poole · Answer 1

[ (2x2 + 5x) + (4x2 - 4x) ] + 5x3 = (2x2 + 5x) + [ (4x2 - 4x) + 5x3] because the first term of the polynomial is associated within the bracket on the left side of the equality, but on the right side it is outside the bracket and without altering the equation.