Question

Solve:

(1+x^2)^2 - 4x^2​

Answer 1

Step-by-step explanation:

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

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

Using

${a}^{2} - {b}^{2} = (a + b)(a - b)$

Therefore

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

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

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