expand the polynomial (1.2c^2 - 7a^2) (1.2^2 + 7a^2)

2 answers

To expand the given polynomial, you can use the FOIL method.

FOIL stands for:

- First term of the first factor multiplied by the first term of the second factor
- Outer terms of the first factor multiplied by the outer terms of the second factor
- Inner terms of the first factor multiplied by the inner terms of the second factor
- Last term of the first factor multiplied by the last term of the second factor

Using FOIL, we get:

(1.2c^2 - 7a^2) (1.2^2 + 7a^2)
= (1.2c^2)(1.2^2) + (1.2c^2)(7a^2) - (7a^2)(1.2^2) - (7a^2)(7a^2)
= 1.44c^2 + 8.4a^2c^2 - 10.08a^2 - 49a^4

Therefore, the expanded polynomial is 1.44c^2 + 8.4a^2c^2 - 10.08a^2 - 49a^4.
AAAaannndd the bot gets it wrong yet again!

and I suspect the poster really meant
(1.2c^2 - 7a^2) (1.2c^2 + 7a^2) = 1.44c^4 - 49a^4