Question

Find the coefficient of x is the expansion of ( x+ 2)3

Answer 1

Answer:

12

Step-by-step explanation:

(x+2)^3=x^3+2^3+3×x×2(x+2)

=x^3+8+6x(x+2)

=x^3+8+6x^2+12x

THUS,

12 IS THE COEFFICIENT OF x

Answer 2

Answer If you mean (x + 2) whole raised to power three then your coefficient of x is 8

Step-by-step explanation:

Now, powers are represented using ' ^ ' symbol.

2^3 means 2 cubed = 8

Identity : (a + b)^3 = a^3 + b^3 + 3(a)(b){a + b}

(x + 2)^3

= x^3 + 2^3 + 3 (x) (2) {x + 2}

= x^3 + 8 + 6x (x + 2)

= x^3 + 6x (x + 2) + 8

[now open brackets]

= x^3 + 6x^2 + 12x + 8

so the coefficient of x is 12.

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