1 Vote
1 Vote
Factorise $x^{2}+9 x+18$
in Mathematics

1 Answer

1 Vote
1 Vote
 
Best Answer

Solution-

The given expression is $x^{2}+9 x+18$.

We try to split 9 into two parts whose sum is 9 and product 18 .

Clearly, $6+3=9$ and $6 \times 3=18$.

$$

\begin{aligned}

\therefore \quad x^{2}+9 x+18 &=x^{2}+6 x+3 x+18 \\

&=x(x+6)+3(x+6) \\

&=(x+6)(x+3) .

\end{aligned}

$$

Hence, $x^{2}+9 x+18=(x \div 6)(x+3)$.

Related Questions

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media