Answer:
Options (1),(3),(4) are correct and Options (2) and (5) are incorrect.
Explanation:
![3x(x-12x)+3x^(2)-2(x-2)^(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/we196ukp8e3ltdmmsuw5dll9mg5cmvigvq.png)
![=3x(x-12x)+3x^(2)-2(x^(2)-4x+4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/djdk6dfvwaqskxno9voj7qbqc14prz77we.png)
![=3x^(2)-36x^(2)+3x^(2)-2x^(2)+8x-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/388ef05hez75t5j8jjfvxcnwqy63u596od.png)
![=[tex]-32x^(2)+8x-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/wzxsip0fj1840poprxwvgiz8sc7j63r7d4.png)
In this question we do the the simplification of term -2(x-2)^2 by squaring (x-2) then we find simplified product is not a binomial.
After multiplying, the like terms are combined by adding and subtracting.
The parentheses are eliminated through multiplication and then
The final simplified product is
![-32x^(2)+8x-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/jrozaf8p351xyij2fywvu25tv2njvzoeoo.png)
Therefore Options (1),(3),(4) are correct and Options (2) and (5) are not correct.