Q:

Complete the expansion of (a + b)6 with a = 1 and b = 0.3.(dont add everything together)(1 + 0.3)^6 = (____)^6 + 6(____)^5(____) + 15(____)^4(____)^2 + 20(____)^3(____)3 + 15(____)^2(____)^4 + 6(___)(___)^5 + (____)^6

Accepted Solution

A:
(1+0.3)^6=(1)^6+6(1)^5(0.3)+15(1)^4(0.3)^2+20(1)^3(0.3)^3+15(1)^2(0.3)^4+6(1)(0.3)^5+(0.3)^6

(1+0.3)^6=1+6(1)(0.3)+15(1)(0.09)+20(1)(0.027)+15(1)(0.0081)+6(0.00243)+0.000729

(1+0.3)^6=1+1.8+1.35+0.54+0.1215+0.01458+0.000729