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If x = 1/2 which will be larger, (2x)^2 or 2(x^2)? Explain ur choice thnx :)

2006-09-26 15:48:46 · 7 answers · asked by cuteypie 1 in Education & Reference Homework Help

7 answers

2x)^2 is larger. just apply the x to the equation.

(2*1/2)^2 = 1 ^2 = 1

2(1/2^2) = 2 * (1/4) = 1/2

2006-09-26 15:56:11 · answer #1 · answered by Anonymous · 0 1

this is a simple problem where you just plug in the number and compare which one is larger. Just plug in 1/2 for the values of x in each expression.

(2 * 1/2)^2
versus
2 * ((1/2)^2)

both are very easy to calculate:
1) 2 * 1/2 = 1
1^2 = 1 * 1 = 1

2) (1/2)^2 = (1/2) * (1/2) = 1/4
2 * 1/4 = 1/2

Thus, the first expression is larger.

2006-09-26 22:53:38 · answer #2 · answered by Matichel 4 · 1 0

(2x)^2 is larger. just apply the x to the equation.

(2*1/2)^2 = 1 ^2 = 1

2(1/2^2) = 2 * (1/4) = 1/2

2006-09-26 22:53:26 · answer #3 · answered by Ms_♥ 4 · 1 0

(2x)^2 equals 4(x^2).. Think about it - for any positive number, which is larger, 4 times that number or two times that number?

2006-09-26 22:51:05 · answer #4 · answered by Judy 7 · 0 0

since (2x)^2 so it is (2*.5)^2= 1^2=1
since 2(x^2) so it is 2(.5^2)=2(.25)=.5
So the larger one is (2x)^2

2006-09-26 22:54:35 · answer #5 · answered by silentcargo 3 · 0 0

That's equal to 1 and .5 respectively, so the first one is larger,

2006-09-26 22:53:08 · answer #6 · answered by Chris_Knows 5 · 0 3

a) (2(.5))^2 = 1

b) 2(.5^2) = .5

Get a calculator...it's not that hard.

2006-09-26 22:54:29 · answer #7 · answered by quack 2 · 0 0

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