Find: (6m5 + 3 - m3 - 4m) - (-m5 + 2m3 - 4m + 6) Write subtraction of a polynomial expression as addition of the additive inverse. (6m5 + 3 - m3 - 4m) + (m5 - 2m3 + 4m - 6) Rewrite terms that are subtracted as addition of the opposite. 6m5 + 3 + (-m3) + (-4m) + m5 + (-2m3) + 4m + (-6) Group like terms. [6m5 + m5] + [3 + (-6) ] + [ (-m3) + (-2m3) ] + [ (-4m) + 4m] Combine like terms. Write the resulting polynomial in standard form. m5 - m3 + m - 3

Question

Mathematics

Soren Zuniga

10 September, 09:09

Find: (6m5 + 3 - m3 - 4m) - (-m5 + 2m3 - 4m + 6) Write subtraction of a polynomial expression as addition of the additive inverse. (6m5 + 3 - m3 - 4m) + (m5 - 2m3 + 4m - 6) Rewrite terms that are subtracted as addition of the opposite. 6m5 + 3 + (-m3) + (-4m) + m5 + (-2m3) + 4m + (-6) Group like terms. [6m5 + m5] + [3 + (-6) ] + [ (-m3) + (-2m3) ] + [ (-4m) + 4m] Combine like terms. Write the resulting polynomial in standard form. m5 - m3 + m - 3

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Ryland Howard · Answer 1

Exactly right down to the last step, but some errors in combining terms.

(6m^5 + 3 - m^3 - 4m) - (-m^5 + 2m^3 - 4m + 6)

= (6m^5 + 3 - m^3 - 4m) + (m^5 - 2m^3 + 4m - 6)

= 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (-2m^3) + 4m + (-6)

= [6m^5 + m^5] + [3 + (-6) ] + [ (-m^3) + (-2m^3) ] + [ (-4m) + 4m]

= (6+1) m^5 + (-1-2) m^3 + (-4+4) m + (3-6)

= 7m^5 - 3m^3 - 3