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sladkih [1.3K]
2 years ago
10

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Mathematics
1 answer:
belka [17]2 years ago
7 0

Given:

The expression is:

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

To find:

The resulting polynomial in standard form.

Solution:

We have,

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

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

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

Rewrite terms that are subtracted as addition of the opposite.

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

Group like terms.

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

Combine like terms.

7m^5+(-3)+(-3m^3)+0

On simplification, we get

7m^5-3-3m^3

Write the polynomial in standard form.

7m^5-3m^3-3

Therefore, the required polynomial in standard form is 7m^5-3m^3-3.

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