Answer:
[tex]9c^{8} -30c^{10} + 25c^{12}[/tex]
Step-by-step explanation:
We can use formula (a-b)² = a² -2ab + b².
In our example a = 3c^4 and b = 5c^6
[tex](3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}[/tex]
Expanding and combining the like terms, the expression becomes [tex]9c^{8} - 30c^{10} + 25c^{12}[/tex] .
Given expression is [tex](3c^{4} - 5c^{6} )^{2}[/tex] .
Using Formula - [tex](a - b)^{2}[/tex] = [tex]a^{2} - 2ab + b^{2}[/tex]
Expanding the expression, we have -
[tex]9c^{8} - 2*3c^{4}*5c^{6} + 25c^{12}[/tex] [Using the above hypothesis]
[tex]9c^{8} - 30c^{10} + 25c^{12}[/tex]
As we can see that there is no like terms or common terms in the expansion of the equation, thus we have the final expression as [tex]9c^{8} - 30c^{10} + 25c^{12}[/tex] .
To learn more about expansion of expression, refer -
https://brainly.com/question/14874506
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