5a^3+10a^215a=5a(a^2+2a-3)=5a(a-1)(a+3)
-16-8ab-a^2b^2-=-(4^2+8ab+a^2b^2)=-(4+ab)^2
(x+2y)^2-6(x+2y)+9= (x+2y)^2-6(x+2y)+3^2=(x+2y+3)^2
(x+y)^2-6(x+y)+9x^2=(x+y)^2-6(x+y)+(3x)^2=(x+y-3x)^2=(y-2x)^2=(2x-y)^2
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