Question

Sunil and Anil are friends. Anil completes his homework daily, while sunil, takes a casual approach towards it. One day they got homework as below: Factorise : 3x² +9x+6
Anil's answer was 3 (x+1) (x+2) and sunil's answer was (x+1) (x+2).
Whose answer is correct? Verify it by factorizing the given expression.
Which values are missing in Sunil?

Answer 1

Dear student
$$\begin{gathered} 3{\mathrm{x}}^2+9\mathrm{x}+6 \\ =3({\mathrm{x}}^2+3\mathrm{x}+2) \\ =3({\mathrm{x}}^2+\mathrm{x}+2\mathrm{x}+2) \\ =3\left[\mathrm{x}\left(\mathrm{x}+1\right)+2(\mathrm{x}+1)\right] \\ =3\left(\mathrm{x}+1\right)(\mathrm{x}+2) \\ \mathrm{So}\mathrm{anil}\text{'}\mathrm{s}\mathrm{answer}\mathrm{is}\mathrm{right} \end{gathered}$$
Regards