\(x^2+6x=x(x+6)\)

\(6x^2+15x=3x(2x+5)\)

\(25ab+35a=5a(5b+7)\)

\(6pq+9pr=3p(2q+3r)\)

\(9abc+24ab=3ab(3c+8)\)

\(8a^3+12a^5=4a^3(2+3a^2)\)

\(2x^2+3x^7+x^5=x^2(2+3x^5+x^3)\)

\(4a^4b^2-10ab=2ab(2a^3b-5)\)

\(p^2-16=(p-4)(p+4)\)

\(121x^2-25=(11x-5)(11x+5)\)

\(100-121x^2=(10-11x)(10+11x)\)

\(p^6-36=(p^3-6)(p^3+6)\)

\(36x^2-100=4(9x^2-25)=4(3x-5)(3x+5)\)

\(18a^3-32a=2a(9a^2-16)=2a(3a-4)(3a+4)\)

\(a^{12}-81=(a^6-9)(a^6+9)=(a^3-3)(a^3+3)(a^6+9)\)

\(2x^{13}-162x=2x(x^{12}-81)=2x(x^6-9)(x^6+9)=2x(x^3-3)(x^3+3)(x^6+9)\)

\(p^4q^2-25r^6=(p^2q-5r^3)(p^2q+5r^3)\)

\(x^2+7x+6=(x+6)(x+1)\)

\(p^2+p-56=(p+8)(p-7)\)

\(x^2-10x+16=(x-8)(x-2)\)

\(a^2+14a+49=(a+7)(a+7)\)

\(5a^5-15a^4+10a^3=5a^3(a^2-3a+2)=5a^3(a-1)(a-2)\)

\(a^8-7a^4+10=(a^4-5)(a^4-2)\)