Question

factorise x^2 - 4x + 4

Answer 1

x²-4x+4
=x²-2x-2x+4
=x(x-2)-2(x-2)
=(x-2)(x-2)
=(x-2)²

Answer 2

x² - 4x + 4 = (x - 2)(x - 2)

Given :

The expression x² - 4x + 4

To find :

To factorise the expression

Formula Used :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is x² - 4x + 4

Step 2 of 2 :

Factorise the expression

We are aware of the formula that ,

(a - b)² = a² - 2ab + b²

Using above formula we get

$\displaystyle \sf {x}^{2} - 4x + 4$

$\displaystyle \sf = {(x)}^{2} - 2.x.2 + {(2)}^{2}$

$\displaystyle \sf = {(x - 2)}^{2}$

$\displaystyle \sf = (x - 2)(x - 2)$

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