\(a,a^3b-ab^3=ab\left(a^2-b^2\right)=ab\left(a-b\right)\left(a+b\right)\)
\(b,36x-x^3=x\left(36-x^2\right)=x\left(6^2-x^2\right)=x\left(6-x\right)\left(6+x\right)\)
\(c,x^2-12x+36=x^2-2\cdot x\cdot6+6^2=\left(x-6\right)^2\)
\(d,x^2-12x-x^2-36=-12x-36=-12\left(x+3\right)\)
\(e,4x^2-4x+1-y^2=\left(\left(2x\right)^2-2\cdot2x\cdot1+1^2\right)-y^2\)
\(=\left(2x-1\right)^2-y^2=\left(2x-1-y\right)\left(2x-1+y\right)\)
\(f,9-y^2+6x+x^2=\left(x^2+6x+9\right)-y^2=\left(x+3\right)^2-y^2=\left(x+3-y\right)\left(x+3+y\right)\)
CHÚC BẠN HỌC TỐT
a) \(a^3b-ab^3=ab\left(a^2-b^2\right)=ab\left(a-b\right)\left(a+b\right)\)
b) \(36x-x^3=x\left(36-x^2\right)=x\left(6-x\right)\left(6+x\right)\)
c) \(x^2-12x+36=x^2-6x-6x+36\)
\(=x\left(x-6\right)-6\left(x-6\right)\)
\(=\left(x-6\right)\left(x-6\right)=\left(x-6\right)^2\)