Question

X ^ 4 - 5 x square + 4 ​

Answer 1

Answer:

$\red {x^{4} - 5x^{2} + 4} \green { = (x+1)(x-1)(x+2)(x-2) }$

Step-by-step explanation:

$x^{4} - 5x^{2} + 4$

/* Splitting the middle term,we get

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

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

Therefore.,

$\red {x^{4} - 5x^{2} + 4} \green { = (x+1)(x-1)(x+2)(x-2) }$

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