Factorize the expression- 9x4 - 1x4 - 2-

(3x^2)^2 +1(x^2)^2+(2×3x^2×1x^2 6 )+2 =(3x^2+1x^2)^2 4=(3x^2+1x^2 2)(3x^2+1x^2+2) #160;So (3x^2+1x^2+2) ,(3x^2+1x^2 2) are the factors of the giv ...

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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorize the...

Question

Factorize the expression: $9 x^{4} + \frac{1}{x^{4}} + 2$ .

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Solution

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x^{4} + 9 x^{4} + 35 x^{4} + 4

x = - 5 + 2 \sqrt{- 4}

x^{4} + x^{2} y^{2} + y^{4}

The expression $x^{4} + 8 x^{2} + 16$ can be factorized as:

{(5 x - \frac{1}{x})}^{2} + 4 (5 x - \frac{1}{x}) + 4, x \neq 0

(ii) $36 x^{2} - 12 x + 1 - 25 y^{2}$

(iii) $x^{4} + x^{2} + 1$

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