Question

factorise: x^4 + 4...... plz friends give me the correct answer​

Answer 1

Answer:

${x}^{4} + 4 \\ \\ = ({x^{2} )}^{2} + ( {2)}^{2} \\ \\ using \: formula \\ \\ {a}^{2} + {b}^{2} \\ \\ = (a - b) ^{2} + 2ab \\ \\ so \: ( {x}^{2} + 2) ^{2} - 2 \times {x}^{2} \times 2 \\ \\ = ( {x}^{2} + 2) ^{2} - 4 {x}^{2}$

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Answer 2

Answer:

correct answer

x^4+4=

Step-by-step explanation:

x^4 + 4

Adding and subtracting 4x^2, we get

x^4+ 4x^2- 4x^2+ 4

= (x^2 + 2)^2. - (2x)^2

= (x^2 + 2x + 2)(x^2 - 2x + 2)

As a^2 - b^2 = (a+b)(a-b)

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