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Answer:
Given Equation
[tex] \bf \: 25 {x}^{2} - 64[/tex]
we have to factorise the given equation .
We will use the following identity here
Let's factorise it
[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]
Therefore,
So, your answer is (5x+8) ( 5x-8)