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.

Given:

The expression is:

To find:

The resulting polynomial in standard form.

Solution:

We have,

Write subtraction of a polynomial expression as addition of the additive inverse.

Rewrite terms that are subtracted as addition of the opposite.

Group like terms.

Combine like terms.

On simplification, we get

Write the polynomial in standard form.

Therefore, the required polynomial in standard form is .

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step-by-step explanation:

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step-by-step explanation: