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Simplify the following expression:
(x+3)-[(x+2)(x³ - 1)]
O A. - x4 - 2x - x+2
OB. -x-2x³ +2x+5
OC. --2x³ +1
OD. -x-2x²+2x+5


Sagot :

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

[tex]\rm =x+3-\left(x+2\right)\left(x^3-1\right)[/tex]

[tex]\rm =x+3-x^4+x-2x^3+2[/tex]

[tex]\rm =-x^4-2x^3+2x+3+2[/tex]

[tex]\rm =-x^4-2x^3+2x+5[/tex]

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

Learn more about the expression here:

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