Đáp án:a)\(x(x-1)^{2}\)
b)(x-5)(x+3)
c)\(5x^{2}y^{3}(1-5xy+2x)\)
d)\(6y(2x^{2}-3xy-5y)\)
e)x-y)(5-y)
g)\((6-x)^{2}\)
h)\((2x+3)^{2}\)
i)(x+y)(11-x)
Giải thích các bước giải:
a)\(x^{3}-2^{2}+x=x(x^{2}-2x+1)=x(x-1)^{2}\)
b)\(x^{2}-2x-15=x^{2}-2x+1-16=(x-1)^{2}-4^{2}=(x-1-4)(x-1+4)=(x-5)(x+3)\)
c) \(5x^{2}y^{3}-25x^{3}y^{4}+10x^{3}y^{3}=5x^{2}y^{3}(1-5xy+2x)\)
d) \(12x^{2}y-18xy^{2}-30y^{2}=6y(2x^{2}-3xy-5y)\)
e) \(5(x-y)-y(x-y)=(x-y)(5-y)\)
g) \(36-12x-x^{2}=(6-x)^{2}\)
h) \(4x^{2}+12x+9=(2x+3)^{2}\)
i) \(11x+11y-x^{2} -xy= 11(x+y)-x(x+y)=(x+y)(11-x)\)
