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Factorize each of the following ratio...

Factorize each of the following rational expressions: `x^4+4` (ii) `x^4+4x^2+3`

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(i)`x^4+4`
`=(x^2)^2+(2)^2 `
`=(x^2 +2)^2 −4x^2`
`=(x^2+2)^2−(2x)^2 `
`=(x^2+2−2x)(x^2+2+2x)`

ii)`x^4+4x^2+3`
`=x^4+x^2+3x^2+3`
`=x^4+4x^2+3`
`=x^4+x^2+3x^2+3`
`=x^2(x^2+1)+3(x^2 +1)`
`=(x^2+1)(x^2 +3)`
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