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Expand (1 + ¼ x)4
0
votes
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asked
Aug 13, 2021
in
Mathematics Form 3
by
anonymous
Expand (1 + ¼ x)
^{4}
Use your expansion above to evaluate (0.975)
^{4 }
to 4 significant figures.
binomial expansion
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1
Answer
0
votes
answered
Aug 13, 2021
by
anonymous
Expand (1 + ¼ x)
^{4}
(1
^{4}
+ 4x
^{1}
/
_{4}
x) + 6 (
^{1}
/
_{4x}
)
^{2}
+ 4(
^{1}
/
_{4x}
)
^{3}
+ (
^{1}
/
_{4x}
)
^{4}
1 +
^{1}
/
_{x}
+
^{3}
/
_{8x2}
+
^{1}
/
_{6x3}
+
^{1}
/
_{6x4}
Use your expansion above to evaluate (0.975)
^{4}
to 4 significant figures.
1 +
^{1}
/
_{-10}
+
^{3}
/
_{8(-10)2}
+
^{1}
/
_{16(-10)3}
+
^{1}
/
_{64(-10)4}
= 0.903689063
= 0.9037
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