Question

Factorise 1+x^4+2x^2

Answer 1

$1 +2 {x}^{2} + {x}^{4} \\ = (1) {}^{2} + 2(1)(x {}^{2} ) + {(x {}^{2}) }^{2} \\ = (1 + {x}^{2}) {}^{2}$

The equation is of the form (a+b)²

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Answer 2

Step-by-step explanation:

x⁴+2x²+1

Let x²=t

t²+2t+1

t²+t+t+1

t(t+1)+1(t+1)

(t+1)(t+1)

=(t+1)²

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