Answer:
[tex]6((x+2)(x+3))[/tex]
Step-by-step explanation:
The given expression is:
[tex]6x^2+30x+36[/tex]
On factorising this expression, we get
=[tex]6(x^2+5x+6)[/tex]
=[tex]6(x^2+2x+3x+6)[/tex]
=[tex]6(x(x+2)+3(x+2))[/tex]
=[tex]6((x+2)(x+3))[/tex]
therefore, on factorising the given expression [tex]6x^2+30x+36[/tex], we get [tex]6((x+2)(x+3))[/tex].
Thus, the binomial is [tex]6((x+2)(x+3))[/tex].
