Lutasin ang 18x^3y+12x^2y^2+2xy^3

$$18 { x }^{ 3 } y+12 { x }^{ 2 } { y }^{ 2 } +2x { y }^{ 3 }$$

I-factor

$$2xy\left(3x+y\right)^{2}$$

Mga Hakbang ng Solution

I-factor out ang 2.

$$2\left(9x^{3}y+6x^{2}y^{2}+xy^{3}\right)$$

Isaalang-alang ang 9x^{3}y+6x^{2}y^{2}+xy^{3}. I-factor out ang xy.

$$xy\left(9x^{2}+6xy+y^{2}\right)$$

Isaalang-alang ang 9x^{2}+6xy+y^{2}. Gamitin ang perfect square formula na a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, kung saan a=3x at b=y.

$$\left(3x+y\right)^{2}$$

I-rewrite ang kumpletong naka-factor na expression.

$$2xy\left(3x+y\right)^{2}$$

I-evaluate

$$2xy\left(3x+y\right)^{2}$$