Question

(x² - 4x + 4) ÷ (x - 2)​

Answer 1

Answer:

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Step-by-step explanation:

$factorising \: \: {x}^{2} - 4x + 4 \\ \\ {x}^{2} - 2x - 2x + 4 \\ \\ x(x - 2) - 2(x - 2) \\ \\ (x - 2)(x - 2) \\ \\ \\ \\ \frac{ {x}^{2} - 4x + 4 }{x - 2} \\ \\ = \frac{ (x - 2)(x - 2)}{ (x - 2)} \\ \\ \: = \frac{\cancel {(x - 2)} \: \: (x - 2)}{ \cancel{(x - 2)}} \\ \\ \implies x - 2$

Answer 2

Answer:

x -2) x² - 4x + 4( x - 2

x² - 2x

(-) (+)

-----------------

0 - 2x + 4

- 2x + 4

-----------------

0

hence,

the divisible of (x²-4x+4)/(x-2)

=> (x-2)

second method

x² -4x +4/(x-2)

=> (x² - 2x -2x +4)/(x -2)

=> [ x(x -2) -2(x -2)] /(x -2)

=> [(x -2)(x -2)] / (x -2)

=> (x -2)

hope it's helpful for you.