The factored form of the equation \(36x^{4}-25\) is \((6x^{2} +5)(6x^{2} -5)\).
Factorisation
What is factorisation?
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.
Formula used in factorisation:
\(x^{2} -y^{2} =(x+y)(x-y)\)
Factorise the given equation:
The given equation is,
= \(36x^{4}-25\)
The above equation can be written as,
= \(6^{2} {(x^{2} )^{2} }-5^{2}\)
= \((6x^{2} )^{2} -5^{2}\)
By using factorisation equation,
= \((6x^{2} +5)(6x^{2} -5)\)
Therefore, the factorisation of the equation \(36x^{4}-25\) is \((6x^{2} +5)(6x^{2} -5)\).
To know more about how to calculate the roots of the quadratic equation by using the factorisation formula, here
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