Question

Factorize the equation:-
(x+1)(x+2)(x+3)(x+4)-8

Please tell the answer if u know

Answer 1

(x + 1) (x + 4) ( x + 2)( x + 3) - 8

(x^2 + 4x + x + 4)(x^2 + 3x + 2x + 6) - 8

Let x^2 + 5x + 4 = K

( K )(K+ 2) - 8

K^2 + 2 K - 8

K^2 + 4K - 2K - 8

K( K + 4) - 2 ( K + 4)

(K + 4)(K - 2)

(x^2 + 5x +8)(x^2 + 5x - 2)

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