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#### bergausstein

##### Active member

- Jul 30, 2013

- 191

in the following exercises, assume that x stands for an unknown real number, and assume that $x^2=x\times x$. which of the properties of real numbers justifies each of the following statement?

a. $(2x)x=2x^2$

b. $(x+3)x=x^2+3x$

c. $4(x+3)=4x+4\times 3$

my answers

a. distributive property

b. distributive property

c. distributive property.

i just don't know if my answers are complete. and i'm also bothered why this part " assume that x stands for an unknown real number, and assume that $x^2=x\times x$." is important.

thanks!

a. $(2x)x=2x^2$

b. $(x+3)x=x^2+3x$

c. $4(x+3)=4x+4\times 3$

my answers

a. distributive property

b. distributive property

c. distributive property.

i just don't know if my answers are complete. and i'm also bothered why this part " assume that x stands for an unknown real number, and assume that $x^2=x\times x$." is important.

thanks!

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