Question

What is the solution of (x-3)³

Answer 1

Answer:

(x-3)³

x³-27-9x²-27x

x³-9x²-27x-27

Answer 2

(x - 3)³ = x³ - 9x² + 27x - 27

Given :

The expression (x - 3)³

To find :

Simplify the given expression

Formula :

(a - b)³ = a³ - 3a²b + 3ab² - b³

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (x - 3)³

Step 2 of 2 :

Simplify the given expression

We use the formula

(a - b)³ = a³ - 3a²b + 3ab² - b³

Thus we get

$\sf {(x - 3)}^{3}$

$\sf = {x}^{3} - 3. {x}^{2} .3 + 3.x. {3}^{2} - {3}^{3}$

$\sf = {x}^{3} - 9 {x}^{2} + 27x - 27$

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