Question

expand(x-3)³ using suitable identity and find the Co efficient of X in it​

Answer 1

Hii its tom85

expend

(x-3)^3

solution

=(x-3)(x-3)(x-3)

=(x2-6x+9)(x-3)

=x^3-9x^2+27x-27

_________/\_________☺️

hope it helps you dude

Answer 2

Answer:

-27 is the required coefficient of X

Step-by-step explanation:

Explanation:

Given that, $(X - 3)^3$

As we know that the formula,

$(a - b)^3$ = $a^3-b^3 + 3ab(a - b)$

So, according to the formula, $(X - 3)^3$ can be written as,

$(X - 3)^3 = X^3 -3^3 +3X(3)(X- 3)$

⇒$(X - 3)^3 = X^3 -27 +9X(X - 3)$

⇒$(X - 3)^3 = X^3 -27 +9X^2 - 27X$

Now, according to the question we need to find out the coefficient of X.

• Coefficient - A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression.

• For instance, in the equation 3x, the coefficient of x is 3, whereas in $x^2$ + 3, the coefficient of $x^2$ is 1. In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.

Therefore, we have

$(X - 3)^3 = X^3 -27 +9X^2 - 27X$

and here we can see that the coefficient of X is -27.

Final answer:

Hence, -27 is the required coefficient of X.

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