Question

Which of these terms will appear in the simplest form of (2x3 + 2x2 + x) (x2-2x +2)?

Answer 1

Given : (2x³ + 2x² + x) (x²-2x +2)

To Find : Which of these terms will appear in the simplest form

A.-2x³  

B. x³  

C. 3x³  

D. 6x³  

Solution:

(2x³ + 2x² + x) (x²-2x +2)

= 2x³ (x²-2x +2)   + 2x²(x²-2x +2)   + x(x²-2x +2)

=  2x⁵ - 4x⁴ + 4x³  + 4x⁴  - 4x³  + 4x²  + x³  - 2x²  + 2x

= 2x⁵   - 4x⁴ + 4x⁴  + 4x³   - 4x³  + x³  + 4x² - 2x²  + 2x

= 2x⁵  + x³   + 2x² + 2x

x³    will appear in the simplest form  

option B is correct

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Answer 2

Answer:

option b

Step-by-step explanation:

the simplest form is
2x^5 - 2x^4 + x³ + 2x² + 2x