Question

divide and verify the answers (x²-4x+4) by (x-2)​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(x^2-4x+4) by (x-2)

Given,

To divide x² - 4x + 4 ÷ x - 2

= \frac{ {x}^{2} - 4x + 4 }{x - 2}=

x−2

x

2

−4x+4

It can be seen that in x² - 4x + 4 ,

the 2nd identity that is, (x - y)² = x² - 2xy + y²

So,

= \frac{(x) {}^{2} - 2(x)(2) + (2) {}^{2} }{x - 2}=

x−2

(x)

2

−2(x)(2)+(2)

2

= \frac{(x - 2) {}^{2} }{x - 2}=

x−2

(x−2)

2

= \frac{(x - 2)(x - 2)}{(x - 2)}=

(x−2)

(x−2)(x−2)

cancelling x-2 and x-2 in the numerator and denominator,

we have,

(x - 2)

Thus,

the answer is (x-2)