Math, asked by mrperfectsingh9131, 1 month ago

(a) 6 The coefficient of x2 in the expansion of the product 9. (2-x2). ((1 + 2x + 3x2)6+ (1 - 4x2)) is

Answers

Answered by tribhuwansingh836
0

Answer:

Correct option is

A

106

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 itzOfficialAshu
0

Answer:

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

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