Q.2 Answer the followings. (2 marks each)
1. Find the products : (x - 1) (x + 1) (x + 1) (x + 1)
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Answer :
Now, (x - 1) (x + 1) (x + 1) (x + 1)
= (x - 1) {(x + 1) (x + 1) (x + 1)}
= (x - 1) (x + 1)³
= (x - 1) (x³ + 3x² + 3x + 1)
= x (x³ + 3x² + 3x + 1) - 1 (x³ + 3x² + 3x + 1)
= x⁴ + 3x³ + 3x² + x - x³ - 3x² - 3x - 1
= x⁴ + 2x³ - 2x - 1 ,
which is the required production.
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