Question

x^2+6x+9 please tell by factorization methord​

Answer 1

$\huge\tt{\fbox{\blue{Answer:-}}}$

${x}^{2} + 6x + 9$

$= {x}^{2} + (3 + 3)x + 9 \\ = {x}^{2} + 3x + 3x + 9 \\ = x(x + 3) + 3(x + 3) = 0 \\ = (x + 3)(x + 3 )$

Answer 2

• As per the data given in the question, we have to find the value of the expression.

           Given data:-$x^{2} +6x+9.$

           To find:- Value of given expression.

          Solution:-

• A process of reducing break of an arithmetic expression
• There are four types of factorization namly,

1. the Greatest common factor (GCF).
2. the Grouping method.
3. the difference in two squares.
4. and the sum or difference in cubes.

       So that,

      $\begin{array}{l}\\x^{2} +6x+9\\=x^{2}+(3+3) x+9 \\=x^{2}+3 x+3 x+9 \\=x(x+3)+3(x+3)=0 \\=(x+3)(x+3).\end{array}$

Hence we will get factorization of  $x^{2} +6x+9$ is $(x+3)(x+3).$