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Factor 25x^2-64

(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)


Sagot :

Answer:

Given Equation

[tex] \bf \: 25 {x}^{2} - 64[/tex]

we have to factorise the given equation .

We will use the following identity here

  • (- b²) = (a + b) ( a - b)

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,

  • Required answer is ( 5x+8)(5x-8)

So, your answer is (5x+8) ( 5x-8)