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

$(x^{2} + x + 16)^{2}$

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

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

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$(x^{2} + x - 4) (x^{2} - x + 4)$

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Solution

The correct option is C
$(x^{2} + 4)^{2}$

Step 1:- The expression $x^{4} + 8 x^{2} + 16$ , Substitute $x^{2} a s a$

Step 2:- $a^{2} + 8 a + 16 = (a + 4)^{2}$

Step 3:- Putting the value of $a a s x^{2}$

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

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

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l i m x \to 2 \frac{x^{3} - 3 x^{2} + 4}{x^{4} - 8 x^{2} + 16}

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