MODERATE EXERCISES - Expanding Binomials

(1) Use the Binomial Theorem to expand the expression 



( x2 + 3x + 5 )4 .
( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )



(2) Use the Binomial Theorem to find the following terms:


    (i) the middle term in the expansion of ( x2 - 1/x )12


    (ii) the term containing x4 in the expansion of ( x + 2y )10


    (iii) the term that does NOT contain x in the expansion of ( 2x2 + 1/x )9


( HINT , SOLUTION )



(3) Simplify the given expressions: (in (ii), this means factor) 

       (i)  (x-1)5 + 5(x-1)4 + 10(x-1)3 + 10(x-1)2 + 5(x-1) + 1


      (ii)  x5 + 10x4 + 40x3 + 80x2 + 80x + 32
( HINT , SOLUTION )



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