\(5x^3-3x^2y-45xy^2+27y^3\)
\(=x^2\left(5x-3y\right)-9y^2\left(5x-3y^{ }\right)\)
\(=\left(5x-3y\right)\left(x^2-9y^2\right)\)
\(=\left(5x-3y\right)\left(x-3y\right)\left(x+3y\right)\)
Nhân dịp đầu năm chúc bạn luôn học giỏi , chăm ngoan , ....
\(5x^3-3x^2y-45xy^2+27y^3\\ =\left(5x^3-3x^2y\right)-\left(45xy^2-27y^3\right)\\ =x^2\left(5x-3y\right)-9y^2\left(5x-3y\right)\\ =\left(x^2-9y^2\right)\left(5x-3y\right)\\ =\left(x+3y\right)\left(x-3y\right)\left(5x-3y\right)\)
5x3-3x2y -45xy2 +27y3
=x2(5x-3y) -9y2(5x-3y)
=(5x-3y)(x2-9y2)
=(5x-3y)(x-3y)(x+3y)
