Factorise the following

Question

1) a^3 - b^3 - a - b
2) a^2 - b^2 + 10a - 2b + 24

Answer 1

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

I suspect a typo. Had it been
a^3-b^3 - a + b
That would have been
(a-b)(a^2+ab+b^2)-(a-b)
(a-b)(a^2+ab+b^2-1)

a^2-b^2+10a-2b+24
a^2+10a+25 - (b^2-2b+1)
(a+5)^2 - (b-1)^2
(a+5+b-1)(a+5-b+1)
(a+b+4)(a-b+6)