## anonymous one year ago What is the formula for factoring a^2+b^2?

1. anonymous

Specifically, my question is 8r^6+27s^12.

2. anonymous

It concerns factoring.

3. anonymous

$a^2+b^2=a^2-(-b^2)=\left( a^2-\iota^2b^2 \right)=\left( a+\iota b \right)\left( a-\iota b \right)$

4. anonymous

Is there a more simple version of this formula @surjithayer ?

5. anonymous

$8r^6+27s^{12}=\left( 2r^2 \right)^3+\left( 3s^4 \right)^3=?$

6. anonymous

Is that really the formula I need to use to solve the problem @surjithayer ?

7. anonymous

yes $a^3+b^3=\left( a+b \right)\left( a^2-ab+b^2 \right)$

8. anonymous

Ah, okay. Thank you. I am now going to work on it. :-)

9. anonymous

That was a hard question. (2r^2+3s^4)(4r^4-6r^4s^6+9s^3)

10. anonymous

yw

11. anonymous

R u asking what that is and its A²+b ²=c² and its called the pythagorean theorem