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@@ End of Day Wrap   Sun 7/6/15   Sydney, Australia Time   1:35am (yes, it is Mon morn   )   ♪ ♫

Hello everyone,

Our wonderful answerers today were Dragonlance, Radix, CPhill, Alan, Eloise, MathsGod1, Will85237 and asinus.  Thank you   

Hi Sabi92   

Lets look at what you did 

$$\\4a^2\textcolor[rgb]{0,0,1}{(2a+3)}-6a\textcolor[rgb]{0,0,1}{(2a+3)}+7\textcolor[rgb]{0,0,1}{(2a+3)}\\\\
=(4a^2-6a+7)\textcolor[rgb]{0,0,1}{(2a+3)}$$

Yes that is perfect  

Mon 8/6/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts: 

FTJ means 'For the juniors' 

I love your new icon Eloise   

Hi Sabi92, 

Welcome to the Web2 forum   

This is a very strange place to put your question.

Just put it on a new post next time.  :)

I really like that fact that you have had a go at it yourself and that you have shown us your work :)

$$\\a(2b^2-c)+b(c-2b^2)$$

what you need to notice here is that the brackets contain the same things except the signs are different.  

I am going to look at the second bracket. I could just as easily chosen the first bracket :)

$$c-2b^2 = -1(-c+2b^2)=-1(2b^2-c)$$

so

$$+b(c-2b^2)=+b*-1(2b^2-c) = -b(2b^2-c)$$

so

$$\\a(2b^2-c)+b(c-2b^2)\\\\
=a(2b^2-c)-b(-c+2b^2)\\\\
=a\textcolor[rgb]{0,1,0}{(2b^2-c)}-b\textcolor[rgb]{0,1,0}{(2b^2-c)}\\\\
$Now you have a lots of the green stuff minus b lots of the green stuff$\\\\
$which equals (a-b) lots of the green stuff$\\\\
=(a-b)(2b^2-c)\\\\$$

$$\\x^{1/2}=\sqrt{x}\\\\
x^{1/3}=\sqrt[3]{x}\\\\
x^{1/4}=\sqrt[4]{x}\\\\
x^{1/5}=\sqrt[5]{x}\\\\
x^{1/6}=\sqrt[6]{x}\\\\\\
81^{1/4}=\sqrt[4]{81}=3\\\\
$This is because $ 3*3*3*3 = 3^4 =81$$

For your next question you need to start a new thread again :)

Remember to start it with the address of this thread so that you keep your continuity :)

YES you are correct MG

BUT

12+64-15 = 12-15+64 = 64-15+12

there is an invisable + in front of the 12

you can add     +12,     +64     and      -15     in any order and the answer will be the same.

So I arranged them in the order that I thought was easiest but you may have chosen a different order.

I saw that 10-15=-3    and 64-3=61

I just thought that looked easy :)

so I rearranged    12+64-15      to      12-15+64   

Does that make sense?

Thanks Chris

the sum of what number and -14 is -9

this is the same as 

-14 + what number = -9

Start at -14

do you need to go in the positive direction or the negative direction to get -9?

How many places do you have to move to get to -9 ?

There is you answer :)