Question

The coefficient of x¹⁸ in the product (1 + x)(1 - x)¹⁰ (1 + x + x²)⁹ is : (A) 84 (B) 126
(C) –126 (D) –84

Answer 1

Step-by-step explanation:

this is what I got from solving this

I guess here is your answer

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Answer 2

Answer:

neither

Step-by-step explanation:

(1+x)(1-x)¹⁰(1+x+x²)⁰

any number or variable that has an exponent value will always equal to 1.

∴ (1+x+x²)⁰ will equal 1

∴ The equation can also be written as (1+x)(1-x)¹⁰.

(1+x)(1-x)¹⁰

= (1+x)(1-x¹⁰)

= (1)²-(x¹¹)

= 1-x¹¹

→the answer is 0 because there is no x¹⁰ in the final equation.