Question

factorise:x^4+x^2+25​

Answer 1

Given: $X⁴+X²+25$

To Find: Fraction/Equation

⠀⠀⠀⠀⠀⠀Solution:

$\implies (x⁴+10x²+25)-9x² \\ \implies (x²+5)²-9x² \\ \implies ( x²+5-3x)(x²+5+3x$

Answer 2

Answer:

x^4+x^2+25

=(x^2)^2 + 2*x^2*5 + (5)^2 - 9x^2

=[(x^2)^2 + 2*x^2*5 + (5)^2 - 9x^2]

=(x^2 + 5 + 3x) (x^2 + 5 - 3x)

[since,a^2-b^2 = (a+b) (a-b)]

.•. The factors of x^4+x^2+25 are (x^2 + 5 + 3x) (x^2 + 5 - 3x)