Write as a polynomial: (12a^3-7x) (-12a^3-7x)

-144a^6 + 49x^2

Step-by-step explanation:

(12a^3 - 7x) (-12a^3 - 7x) =

Factor - 1 out of the second binomial.

= (12a^3 - 7x) (-1) (12a^3 + 7x)

= - (12a^3 - 7x) (12a^3 + 7x)

After the first negative sign, you have the product of a sum and a difference:

(a + b) (a - b) = a^2 - b^2

= - (144a^6 - 49x^2)

Now, distribute the negative sign.

= - 144a^6 + 49x^2