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

Trevor Blackburn

Mathematics

20 February, 19:04

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)

Know the Answer?

Bronson Glenn · 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.