How does (2x)^2 = 4x^2??? - Please explain QUICKLY
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How does (2x)^2 = 4x^2??? - Please explain QUICKLY

[From: ] [author: ] [Date: 12-06-27] [Hit: ]
Putting this together,You are squaring everything inside the parenthesis. (ab)^2 = (ab)*(ab) = a^2 b^2 for any a and b.so the two solutions are x = -1, 3.(3x)^2=9x^2-(2x)^2 = 4x^2?......
How is that??
so does (3x)^2 = 9x^2???

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The 3x is inside the parenthesis which means you must raise 3 to the power of 2 (3^2 = 9) and you must raise x to the power of 2 (x^2). Putting this together, you get 9x^2

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(2x) * (2x) = 2 * 2 * x * x = 4 x^2

(3x)^2 = (3x) * (3x) = 3 * 3 * x * x = 9x^2

You are squaring everything inside the parenthesis. (ab)^2 = (ab)*(ab) = a^2 b^2 for any a and b.

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2x^2 - 4x - 4 = 2
2x^2 - 4x - 6 = 0
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0

x - 3 = 0
x = 3

or

x + 1 = 0
x = -1

so the two solutions are x = -1, 3.

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(xy)^n=x^n*y^n
=>
(2x)^2=2^2*x^2

(2x)^2=4x^2

Similarly
(3x)^2=9x^2

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(2x)^2 = 4x^2?

(2x)^2 = (2x) * (2x)

= 4x^2

(3x)^2 = (3x)*(3x)

= 9x^2
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