Respuesta :

[tex](27ax^3-9a^2x)\div3ax=9ax(3x^2-a)\div3ax \\ \\ =3(3x^2-a)=\bold{9x^2-3a}[/tex]

Answer:

[tex]9x^2-3a[/tex]

Step-by-step explanation:

We are given that an expression

[tex](27ax^3-9a^2x)\div 3ax[/tex]

It can be written  as

[tex]\frac{27ax^3-9a^2x}{3ax}[/tex]

We have to find the answer by using polynomial division.

Denominator: Bottom part of fraction

Numerator: Upper part of fraction

Divisor: It is called denominator which divides the dividend.

Dividend: It is called numerator which is divided by divisor.

We have

Divisor=[tex]3ax[/tex]

Dividend=[tex]27ax^3-9a^2x[/tex]

Quotient: The result which is obtained when divisor divides the dividend.

Quotient=[tex]9x^2-3a[/tex]

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