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Expand the expression (1- 3/10 x)5 in ascending powers of x, leaving coefficient as fractions in their lowest form.
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asked
Jun 18, 2021
in
Mathematics Form 3
by
anony mous
Expand the expression (1-
^{3}
/
_{10}
x)
^{5}
in ascending powers of x, leaving coefficient as fractions in their lowest form.
Use the first three terms of the expansion in part (a) above to estimate the value (0.97)
^{5}
binomial expansion
fractions
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1
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votes
answered
Jun 18, 2021
by
anony mous
selected
Jan 30
by
easyadmin
Best answer
1-5(
^{3x}
/
_{10}
) + 10(
^{3x}
/
_{10}
)
^{2 }
- 10(
^{3x}
/
_{10}
)
^{3 }
+ 5(
^{3x}
/
_{10}
)
^{4 }
- (
^{3x}
/
_{10}
)
^{5}
1- 1.5x + 0.9x
^{2}
- 0.27x
^{3}
+ 0.0405x
^{4}
- 0.00243x
^{5}
0.975 = ( 1 -
^{3}
/
_{10}
x)5
x = 0.1
1- 1.5x + 0.9x
^{2 }
but x = 0.1
1 - 1.5(0.1) + 0.9(0.1)
^{2}
= 0.859
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