:①25x^2-10x+1
=(5x-1)^2
②4a^4+12a^2b^2+9b^4
=(2a^2+3b^2)^2
③x^2-10x-24
=(x-12)(x+2)
④a^2b^2-ab-20
=(ab-5)(ab+4)
⑤x^2+25xy+150y^2
=(x+10y)(x+15y)