Math, asked by vaishalibhole85, 5 months ago

[x² - 4x + 4] by [x-2] = ?​

Answers

Answered by Atharav56
1

Answer:

first of all what does "by "means here is it Multiply or Divide. But I will do both for you.

Step-by-step explanation:

So here our question is :[x² - 4x + 4] by [x-2]

So taking by as Multiply:--

[x² - 4x + 4] * [x-2]

[(x² - 4x + 4)*x]-[(x² - 4x + 4)*2]

(x^{3}-4x²+4x)-(2x²-8x+8)=x^{3}-6x²+12x-8

So now taking by as Divide:--

[x² - 4x + 4] / [x-2]

=x²−4x+4/x−2

=(x−2)(x−2) /x−2

So here we have common fctor as x-2 and x-2 at both sides

After solving our answer will beas

x−2

If you found my answer helpful please mark as the brainliest answer.

Answered by Anonymous
1

Step-by-step explanation:

 \LARGE{\underline{\underline{\pink{\bf{Solution:-}}}}}

 \small\bf\green{☆Given, }

To divide  x^2-4x+4÷x-2

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

It can be seen that  x^2-4x+4,

The second identity that is,  (x-y) ^2=x^2-2xy+y^2

 \small\bf\green{☆So, }

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

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

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

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

 \small\bf\green{☆We\:have, }

(x-2)

∴ The answer is  \small\bf\green{(x-2)}

⠀⠀•───────────────────•

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