Mathematics: If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression

MadisonBoone

31.12.2021

For this case we have the following functions:
m (x) = x ^ 2 + 3

n (x) = 5x + 9

Multiplying both functions, we obtain an expression equivalent to (mn) (x).
We have then:
(mn) (x) = m (x) n (x)

Substituting values we have:
(mn) (x) = (x ^ 2 + 3) (5x + 9)

Rewriting the expression we have:
(mn) (x) = (5x ^ 3 + 15x) + (9x ^ 2 + 27)

(mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27

An expression that is equivalent to (mn) (x) is:
(mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27

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agray339

26.11.2020

To the Boer Republics

Explanation: When the british began settling in south africa, many afrikaners went to the Boer Republics.

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