Question

16. Solve this problem
Please give verified answer with step by step solution​

Answer 1

Answer:

-2$y^{2}$+2$z^{2}$

Step-by-step explanation:

1. Distribute the exponent to the insides of the parenthesis --> (4$x^{2}$-$y^{2}$+$z^{2}$) - (4$x^{2}$+$y^{2}$-$z^{2}$)

2. Distribute the negative --> (4$x^{2}$-$y^{2}$+$z^{2}$) + (-4$x^{2}$-$y^{2}$+$z^{2}$)

3. Combine like terms --> -2$y^{2}$+2$z^{2}$

Answer 2

Identities used:

(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac

Note: The signs change accordingly.