Answer :

22stolc

Answer:

(3x+2)(3x+2)

Step-by-step explanation:

9x²+12x+4         Find two numbers that multiply to 9 and to other numbers that add to 4.

This numbers would be 3 and 2.

Since the 9 has an x², the 3 must be put with the x. Also the 2 must be positive because of all of the numbers being positive.

(3x+2)(3x+2)

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Using the method of nesting to factorize the quadratic equation, [tex](3x +2) (3x+2)[/tex]

What is factorization?

Factorization is one of the methods by which a quadratic equation can be solved. We have in this case the equation, [tex]9x^2+12x+4[/tex].

Now, we can rewrite the equation as;

[tex]9x^2+ 6x + 6x + 4[/tex]

Using the procedure of nesting

[tex]3x(3x +2) + 2(3x+2)[/tex]

[tex](3x +2) (3x+2)[/tex]

Learn more about factorization: https://brainly.com/question/15518817

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