Question

descompusa in factori expresia 4x² - 25 este....

Answer 1

4x²-25=(2x-5)(2x+5)
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Answer 2

$4 x^{2} - 25 = 0 \Rightarrow 4x^2 = 25 \Rightarrow x^2 = \frac{25}{4} \Rightarrow x = \pm \frac{5}{2} \\ \\ \Rightarrow 4x^2-25 = 4(x- \frac{5}{2})(x-(- \frac{5}{2}))\Rightarrow 4x^2-25 = 4(x- \frac{5}{2})(x+ \frac{5}{2}) = \\ \\ =2\cdot (x- \frac{5}{2})\cdot 2\cdot (x+ \frac{5}{2}) = (2x-5)(2x+5)$