Question

Simplify 4n 5 + 3.5n 5 + (-2.1n 5).

Answer 1

4n 5 + 3.5n 5 - 2.1n 5 = n 5 (4 + 3.5 - 2.1) = n 5 * 5.4 = 5.4n 5

Answer 2

`5.4n^5`

Explanation:

Given:

Expression,
`4n^5+3.5n^5+(-2.1)n^5`

Simplify the given polynomial.

`\Rightarrow 4n^5+3.5n^5+(-2.1)n^5`

Sign rule: (+)(-) = -

`\Rightarrow 4n^5+3.5n^5-2.1n^5`

Each term has variable n with degree 5.

Combine the coefficients of variable.

`\Rightarrow (4+3.5-2.1)n^5`

`\Rightarrow 5.4n^5`

Hence, The simplest form of polynomial is 5.4n⁵