Question

Factorise: x^4-29x^2+100​

Answer 1

Answer:

Step-by-step explanation:

$x^{4} - 29x^{2} + 100\\x^{4} - 25x^{2} -4x^{2} + 100\\x^{2} (x^{2} -25) -4(x^{2} -25)\\(x^{2} -4)(x^{2} -25)$

Answer 2

Here the given equation is $x^{4}-29*x^{2} +100$.

Therefore we can write that,

$x^{4}-25*x^{2}-4*x^{2} +100$

$(x^{2}-25)(x^{2}-4)=0$

That is,

$x^{2} =25, 4$

Hence,

x= ±5, ±2

Hence the factorized form of the equation $x^{4}-29*x^{2} +100$ is $(x^{2}-25)(x^{2}-4)=0$