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/sci/ - Science & Math


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2042208 No.2042208 [Reply] [Original]

I have a problem. How do you simplify "(2√x)^2" to a form "4x - 4√x"? In the original task there was also "- 1" so I kept it because I didn't know is it part of the solution or not.

2√x - 1 | ()^2 (This is the original sentence)
(2√x)^2 + (-1)^2 | This is my assumption. I don't know if it's right
4x - 4√x + 1 | I don't know where this result came from.

I tried with the square of a binomial but I got a different result:

2√x - 1 | ()^2
(2√x)^2 + (-1)^2 | the square of a binomial, (a-b)^2 = a^2 - 2ab + b2
2^2 - 2 * 2 * √x + (√x)^2 + 1
4 - 4√x + x + 1

Please help me!!!

>> No.2042219

Is your initial equation:
<div class="math">(2 \sqrt{x} - 1)^2</div> ?

>> No.2042231

>>2042219
yes

>> No.2042247

In which case:

<div class="math">(2 \sqrt{x} - 1)^2</div>
<div class="math">(2 \sqrt{x} - 1)(2 \sqrt{x} - 1)</div>
<div class="math">(2 \sqrt{x})(2 \sqrt{x} - 1) - (1)(2 \sqrt{x} - 1)</div>

Can you take it from here?

>> No.2042261

>>2042247
yes, thank you very much !! :)

>> No.2042268

>>2042261
Rock on. You're welcome.

>> No.2042298

Holy fuck you are retarded.

>> No.2042320
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2042320

>>2042298