2.
Write the product form of the following:
(a) y
(b) x 19
(c)
3
x²yz
(d) abc
(e) (-a)"
(1) (2x)
(g) (-2)30
(h) - 7pqr3
Answers
Answered by
2
Answer:
Let a=((1+2x+3x
2
)
6
+(1−4x
2
)
6
)
∴ Coefficient of x
2
in the expansion of the product (2−x)
2
((1+2x+3x
2
)
6
+(1−4x
2
)
6
)
=2( Coefficient of x
2
in a)−1(Constant of expansion)
In the expansion of ((1+2x+3x
2
)
6
+(1−4x
2
)
6
),
Constant =1+1=2
Coefficient of x
2
= Coefficient of x
2
in (
6
C
0
(1+2x)
6
(3x
2
)
0
)+ Coefficient of x
2
in (
6
C
1
(1+2x)
5
3)−
6
C
1
(4)
=
6
C
2
4+6×3−24
=6=+18−24=54
Then, coefficient of x
2
in (2−x)
2
((1+2x+3x
2
)
6
+(1−4x
2
)
6
)
=2×54−1(2)=108−2=106
Answered by
2
Answer:
a) y
b) x and 19
c) 3,x,x,y,and z
d) a,b,c
e) -a
f) 2, x
g) -2, 30
h) -7 ,p,q ,r,3
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Step-by-step explanation:
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