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Expand (1 + ¼ x)4
0
votes
588
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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
/
8x
2
+
1
/
6x
3
+
1
/
6x
4
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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