SOLUTION: Please help me to factorise the below given problems: 1. a+2b+acube+8bcube 2. xsquare-8/x 3. a-3b+acube-27bcube 4. asquare+bc-ac-bsquare 5. 4asquare-4ab+bsquare-4xsquare.

Click here to see ALL problems on Equations

Question 450541: Please help me to factorise the below given problems:
1. a+2b+acube+8bcube
2. xsquare-8/x
3. a-3b+acube-27bcube
4. asquare+bc-ac-bsquare
5. 4asquare-4ab+bsquare-4xsquare.

Thank You.
Found 2 solutions by stanbon, poliphob3.14:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. a+2b+acube+8bcube
---
= (a+2b) + (a^3+(2b)^3)
= (a+2b) + (a+2b)(a^2-2ab+4b^2)
= (a+2b)[1+a^2-2ab+4b^2]
==================================
2. xsquare-8/x
= (x^3-2^3)/x
---
= [(x-2)(x^2+2x+4)]/x
===============================
3. a-3b+acube-27bcube
= (a-3b) + (a^3-(3b)^3))
---
= (a-3b) + (a-3b)(a^2+3ab+9b^2)
---
= (a-3b)[1+a^2+3ab+9b^2]
==================================
etc/
Cheers,
Stan H.
===============
4. asquare+bc-ac-bsquare
5. 4asquare-4ab+bsquare-4xsquare.

Answer by poliphob3.14(115) (Show Source):
You can put this solution on YOUR website!
We start to factor by grouping:
1..
2..
3..