Question

how to factorise
a^4-7a^2+1

Answer 1

Step-by-step explanation:

assume a² to be x.

then the equation becomes x²-7x+1

Factorize for x and then put x=a² and find the answer.

hope it helps.

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Answer 2

Answer:

(x2+1+3x)(x2+1−3x)

Step-by-step explanation:

My first instinct in factoring is completing the square. x4−7x2+1 naturally becomes (x2−1)2−5x2 or (x2+1)2−9x2. Of the two the latter is a difference of squares and is thus more useful. Thus

x4−7x2+1=(x2+1)2−9x2=(x2+1+3x)(x2+1−3x)

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