Factorisation (1 Viewer)

[lath]

How do you factorise: 12a - 30b + 4a^2 - 25b^2

 

[deterministic]

12a - 30b + 4a^2 - 25b^2
= 6(2a-5b)+(2a-5b)(2a+5b) difference of 2 squares
=(2a-5b)(6+2a+5b)

 

[lath]

thanks..what about x^3 + 27

 

[deterministic]

use sum of 2 cubes rule:

a^3+b^3=(a+b)(a^2-ab+b^2)

Try it yourself using this rule

 

[lath]

Yea i know the rule but can you factorise (x+3)(x^2-3x+9) any further?

 

[deterministic]

No unless you involve complex numbers (4 unit stuff)

 

[b33g_boss]

^ nope just leave that as your ans.