Mathematics
An expression is factorized as (2x3 + 2x2 + x)(x2 - 2x + 2). Which of the following terms will appear in the simplest form of the above expression?
-2x3
3x3
6x3
x3
Factorisation
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Answer
Given,
⇒ (2x3 + 2x2 + x)(x2 - 2x + 2)
⇒ 2x3(x2 - 2x + 2) + 2x2(x2 - 2x + 2) + x(x2 - 2x + 2)
⇒ 2x5 - 4x4 + 4x3 + 2x4 - 4x3 + 4x2 + x3 - 2x2 + 2x
⇒ 2x5 - 2x4 + 2x2 + x3 + 2x
The that term appears in its simplest form is x3
Hence, option 4 is correct option.
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