Question

10. The coefficient of x in the expansion of (x - 4) is
(1) 12
(2) 24
(3) 48
(4) -48

.​

Answer 1

Answer:

-48 is your answer mate

Step-by-step explanation:

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Answer 2

Answer:

$\huge\purple{Answer}$

ANSWER

First expand the term (1+2x)

4 by binomial expansion.

(1+2x) 4 = 4 C 0 (1) 4 (2x) 0 + 4C 1 (1) 3 (2x) 1 + 4C 2

(1) 2 (2x) 2 + 4 C 3

(1)

1

(2x)

3

+

4

C

4

(1)

0

(2x)

4

=1+8x+24x

2

+32x

3

+16x

4

(1)

Now expand the term (2−x)

5

by binomial expansion,

(2−x)

5

=

5

C

0

(2)

5

(x)

0

−

5

C

1

(2)

4

(x)

1

+

5

C

2

(2)

3

(x)

2

−

5

C

3

(2)

2

(x)

3

+

5

C

4

(2)

1

(x)

4

−

5

C

5

(2)

0

(x)

5

=32−80x+80x

2

−40x

3

+10x

4

−x

5

(2)

Multiply the coefficients of those powers which can give the term x

4

and then add from equation (1) and (2).

=1×10+8(−40)+24(80)+32(−80)+16(32)

=−438

Therefore, the coefficient of x

4

is −438.