write the coefficient of x2 in the expansion of (x-2)3
Answers
Answered by
1
Answer:
3
Step-by-step explanation:
the highest degree is the cofficient
Answered by
1
Step-by-step explanation:
The given expression is
(x-2)^3(x−2)
3
Using the formula:
(a-b)^3=a^3-3a^2b+3ab^2-b^3(a−b)
3
=a
3
−3a
2
b+3ab
2
−b
3
We get
(x-2)^3=x^3-3(x^2)(2)+3(x)(2^2)-(2^3)(x−2)
3
=x
3
−3(x
2
)(2)+3(x)(2
2
)−(2
3
)
(x-2)^3=x^3-6x^2+12x-8(x−2)
3
=x
3
−6x
2
+12x−8
Therefore, the coefficient of x² is -6.
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