Factoriser 2xx+1 Xx 4

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$\\Solution:\\\\ Given:\\\\ x^4+x^2+1\\\\ Adding\ and\ subtracting\ x^2\ to\ the\ given\ equation\\\\ =x^4+x^2+1+x^2-x^2\\\\ =x^4+2x^2+1-x^2\\\\ =(x^2+1)^2-x^2\ \ \ \ \ \ \ \ \ \ [\because a^2+2ab+b^2=(a+b)^2]\\\\ =(x^2+1+x)((x^2+1-x))\ \ \ \ \ \ \ [\because a^2-b^2=(a+b)(a-b)]$

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