Question

Factorise

`16(2l + 3m) {}^(2) - 12(3m - 2l)`

Answer 1

`4(16l^2+36m^2+48lm-9m+6l)`

Explanation:

`16(2l+3m)^2-12(3m-2l)`

Factoring out 4

`4(4(2l+3m)^2-3(3m-2l))`

`4(4(4l^2+9m^2+12lm)-9m+6l)`

By using
`(a+b)^2=a^2+b^2+2ab`

`4(16l^2+36m^2+48lm-9m+6l)`

After factorization the given polynomial function becomes:

`4(16l^2+36m^2+48lm-9m+6l)`