The factored form of the equation [tex]36x^{4}-25[/tex] is [tex](6x^{2} +5)(6x^{2} -5)[/tex].
Instead of expanding the bracket and turning the equation into a product of components that cannot be further reduced, factorisation involves decreasing the bracket of a quadratic equation.
[tex]x^{2} -y^{2} =(x+y)(x-y)[/tex]
The given equation is,
= [tex]36x^{4}-25[/tex]
The above equation can be written as,
= [tex]6^{2} {(x^{2} )^{2} }-5^{2}[/tex]
= [tex](6x^{2} )^{2} -5^{2}[/tex]
By using factorisation equation,
= [tex](6x^{2} +5)(6x^{2} -5)[/tex]
Therefore, the factorisation of the equation [tex]36x^{4}-25[/tex] is [tex](6x^{2} +5)(6x^{2} -5)[/tex].
To know more about how to calculate the roots of the quadratic equation by using the factorisation formula, here
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