Factorize (x+1)(x+2)(x+3)(x+6)−3x^2

Maverick Avery

Maverick Avery

Answered question

2022-10-31

Factorize ( x + 1 ) ( x + 2 ) ( x + 3 ) ( x + 6 ) 3 x 2

Answer & Explanation

darkangel5991we

darkangel5991we

Beginner2022-11-01Added 10 answers

A way to do it is to write ( x + 2 ) ( x + 3 ) = x 2 + 6 x + 6 x, ( x + 1 ) ( x + 6 ) = x 2 + 6 x + 6 + x, so
( x + 2 ) ( x + 3 ) ( x + 1 ) ( x + 6 ) = ( x 2 + 6 x + 6 ) 2 x 2
which gives that
( x + 2 ) ( x + 3 ) ( x + 1 ) ( x + 6 ) 3 x 2 = ( x 2 + 6 x + 6 ) 2 4 x 2 = ( x 2 + 4 x + 6 ) ( x 2 + 8 x + 6 ) .

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