Respuesta :

rosed7460

Step-by-step explanation:

Rewrite 9x2 as (3x)2

.

(3x)2+24x+16

Rewrite 16

as 42

.

(3x)2+24x+42

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

24x=2⋅(3x)⋅4

Rewrite the polynomial.

(3x)2+2⋅(3x)⋅4+42

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2

, where a=3x and b=4

.

(3x+4)2

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