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write the factors of the following expression x3 (2a‐6)+x2 (2a-6)​

Sagot :

Given:

The expression is

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

To find:

The factors of the given expression.

Solution:

We have,

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

First taking [tex](2x-6)[/tex] common, the given expression can be written as

[tex]=(2x-6)(x^3+x^2)[/tex]

Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get

[tex]=x^2(2x-6)(x+1)[/tex]

Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].

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