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Using the binomial expansion \((1+x)^{6} = 1 + 6x + 15x^{2} ...

Using the binomial expansion (1+x)6=1+6x+15x2+20x3+15x4+6x5+x6, find, correct to 3 dp, the value of (1.98)6

A.

64.245

B.

61.255

C.

60.255

D.

60.245

Correct answer is C

(1.98)6=(1+0.98)6=1+6(0.98)+15(0.98)2+20(0.98)3+15(0.98)4+6(0.98)5+(0.98)6

 

= 60.255