Question

x^4+4=?

give me correct

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Answer 1

x⁴+ 4

...adding and subtracting 4x²

x⁴ + 4 + 4x² - 4x²

= (x²)² + 2² + 2 ∗ 2 ∗ x² − (2x)²

= (x² + 2)² - (2x)²...............{(a+b)²=a² + b² + 2ab}

= (x² + 2 − 2x)(x² + 2 + 2x)..{(a²−b²) = (a+b)(a−b)}

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