I forgot how to "simplify" things?

Question

Okay, well, this is like algebraic expression simplifying stuff...

The easy things in Algebra that I've forgotten..

So I need someone to explain to me. @_@

Well um, first off I start with.

Well, how would you simplify x (x + y) ?

Also, how would you simplify -9-5j+3-2j?

And lastly, this is just a random question about absolute value:

Would this be > or < and how?

-|-1| is > < than |-(-1)|

Apparently, they're not the same. One is bigger? x_x?

But absolute value would mean they're both 1..?

Err, can someone help me with that. XD I forgot all this, eek!

Answer 1

x^2 +xy

-6-7j

-|-1| &lt; |-(-1)|, because -|-1| have a negative sign outside of absolute value so its less than 1

Answer 2

x(x + y) = x^2 + xy

multiply x by x and add xy

-9 - 5j + 3 - 2j keep your plain numbers together and your j&#039;s together

= -9 + 3  - 5j - 2j

= -6 - 7j

Sorry can&#039;t help with the absolute values. Don&#039;t remember a thing about them either.

Answer 3

for  x (x + y)

the steps would be:

x (x + y)



x^2+xy

for -9-5j+3-2j

the steps would be:

-9-5j+3-2j

-9+3-5j-2j

-6-7j

and i&#039;m not quite sure about the last one

Answer 4

1. x (x+y)= x^2 + xy

*x^2 means x squared

answer: x^2 + xy

2. -9 -5j + 3 - 2j= -6 -7j

answer: -6-7j

3. |-1| means absolute value. [if the number is inside the absolute value, the sign will be ignored]so...

-1 &lt; 1

answer: -1 is less than 1

goodluck!

^_^

Answer 5

(1)  To &quot;simplify&quot;, you&#039;re going to DISTRIBUTE.  That means that you multiply everything inside the parenthesis by x.

x (x+y)

(x)x + (x)y

x^2 + xy

(2) Combine like terms on this one.  That means, add/subtract the numbers, and add/subtract the like variables.

-9-5j+3-2j  

It&#039;s simplest if you change the subtraction to addition (subtracting is the same as adding the opposite/negative)

-9 + (-5j) + 3 + (-2j)

you can change the order to get:

-9 + 3 + (-5j) + (-2j)

    -6    +  (-7j)

or you could write -6 - 7j , it&#039;s the same thing.

(3)  The absolute value of any number is positive.  The one on the left has a (-) sign on the OUTSIDE of the absolute value, making the final number NEGATIVE.  So it *has* to be smaller than the one on the right, which has everything on the INSIDE of the absolute value.

-|-1| is -1, and |-(-1)| is 1, so -|-1| is  &lt;  |-(-1)|  (because -1 is &lt; 1)