Question
Asked Dec 3, 2019
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50
Write the first four terms in the expansion of: (æ - 3)°
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50 Write the first four terms in the expansion of: (æ - 3)°

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Expert Answer

Step 1

Recall the following fact.

Binomial theorem
(a+b)-
k
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Binomial theorem (a+b)- k

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Step 2

Write the first four terms in t...

(x-3)0
Here a x b=-3 and n=50
50
50-(-3)1xr50 x1=x30
0
First term, a
50
49
(-3) =50xx9 x(-3)=-150x
Second term, a
1
=
50
Third tem, a =|
2
(-3) 1225 xx48 x(-3) =11025.x48
50
3(-3) 19600 x x4 x(-3) =-529200x7
50-3
Fourth term, ag =
3
50
Fifth tem, a, =
4
-3)
230300 x x46 x(-3) =18654300x46
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(x-3)0 Here a x b=-3 and n=50 50 50-(-3)1xr50 x1=x30 0 First term, a 50 49 (-3) =50xx9 x(-3)=-150x Second term, a 1 = 50 Third tem, a =| 2 (-3) 1225 xx48 x(-3) =11025.x48 50 3(-3) 19600 x x4 x(-3) =-529200x7 50-3 Fourth term, ag = 3 50 Fifth tem, a, = 4 -3) 230300 x x46 x(-3) =18654300x46

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Algebra