Question

write as a product of two polynomials. 3(a-2)^2-(2-a)

Answer 1

From the given expression

$3(a-2)^2-(2-a)$

Now,

Expand the above expression:

$\begin{gathered} 3(a-2)^2-(2-a)=3(a^2-4a+4)-(2-a) \\ =3a^2-12a+12-2+a \\ =3a^2-11a+10 \end{gathered}$

Then,

$3a^2-11a+10=(3a-5)(a-2)$

Hence, the answer is (3a - 5)(a - 2)