Factor the expression completely. (a^2+1)^2-7(a^2+1)+10

Moncelliqo4

Moncelliqo4

Answered question

2022-12-04

Factor the expression completely.
( a 2 + 1 ) 2 7 ( a 2 + 1 ) + 10

Answer & Explanation

Clarence Terrell

Clarence Terrell

Beginner2022-12-05Added 13 answers

Solved:
( a 2 + 1 ) 2 7 ( a 2 + 1 ) + 10
x = a 2 + 1
x 2 7 x + 10 = x 2 5 x 2 x + 10 = x ( x 5 ) 2 ( x 5 ) = ( x 2 ) ( x 5 ) =
then
( a 2 + 1 ) 2 7 ( a 2 + 1 ) + 10 = ( a 2 + 1 2 ) ( a 2 + 1 5 ) = ( a 2 1 ) ( a 2 4 ) =
= ( a 1 ) ( a + 1 ) ( a + 2 ) ( a 2 )

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