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Expand (1-2x)6 up to term in x3
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asked
Jul 21, 2021
in
Mathematics Form 3
by
anonymous
Expand (1-2x)
^{6}
up to term in x
^{3}
Use the expansion above to evaluate (1.02)
^{6}
correct to 4 decimal places.
binomial expansion
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answered
Jul 21, 2021
by
anonymous
1+ 6(2x)
^{1}
+ 15 (2x)
^{2}
+ 20(2x)
^{3}
1+12x + 60x
^{2}
+160 x
^{3}
1-2x = 0.98
-2x=0.98-1=-0.02
or 1-0.98=2x
2x=0.02
x=0.01
1+12(0.01 ) + 60(0.01)
^{2}
+160 (0.01)
^{3}
1+ 0.12+0.006 + 0.00016
=1.1262(4 d.p)
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