Question

dado o polinômio 16a2+24a +9 indique a alternativa que representa a fatoração desse polinômio
(4a-3)2
(4a+3)(4a-3)
(4a+3)2
a(16a+24+1)​

Answer 1

$16a^2+24a+9\\\\(4a)^2+24a+9\\(4a)^2+24a+3^2\\24a=2\cdot(4a)\cdot3\\(4a)^2+2\cdot(4a)\cdot3+3^2\\a^2+2ab+b^2=(a+b)^2\\a=4a\ e\ b =3\\(4a+3)^2$