Math

[Guest]

Factor:
3b²c(b²d+a²c)-6(a³d+ab²c)+3+3a²(a²d+b²c)²+3(a²d-1)(a²c+b²d).

[shyamjayakannan]

[tex]3b^2c\left(b^2d+a^2c\right)+3\left(a^2d-1\right)\left(a^2c+b^2d\right)+3\left\{a^2\left(a^2d+b^2c\right)^2-2a\left(a^2d+b^2c\right)+1\right\}[/tex]
[tex]=\boxed{3\left(a^2c+b^2d\right)\left(a^2d+b^2c-1\right)+3\left\{a\left(a^2d+b^2c\right)-1\right\}^2}[/tex]