Verified Answer :

\(a^{2} + 10a - 24\)

\(= (a - 2)(a+12)\)


Note :
Remember this formulas :
\(x^{2} +bx+c = (x+p)(x+q)\)

when :
\(p \cdot q = c\,\,\,\,\,\,and\,\,\,\,\,\,p+q =b\)

\(a^2 + 10a - 24=\\ a^2-2a+12a-24=\\ a(a-2)+12(a-2)=\\ (a+12)(a-2)\)