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## Main Question or Discussion Point

I'm doing some basic factoring now to refresh my skills.

On one problem, it is asking to factor: [tex](y^2 + 8)^2 - 36 y^2[/tex]

I was able to get to where I factor the trinomials: (y-4)(y-2)(y+4)(y+2)

When it says to give the summary of factorization, it gives: [tex](y^2 + 8)^2 - (6y)^2[/tex]

I'm going through a tutorial and this last step is the one I can't figure out.

For some reason, I thought that (y-4)(y-2)(y+4)(y+2) = [tex](y^2 + 8)^2[/tex]

but instead: (y-4)(y-2)(y+4)(y+2) = [tex](y^2 + 8)^2 - (6y)^2[/tex]

My question is how the extra [tex](6y)^2[/tex] comes about.

On one problem, it is asking to factor: [tex](y^2 + 8)^2 - 36 y^2[/tex]

I was able to get to where I factor the trinomials: (y-4)(y-2)(y+4)(y+2)

When it says to give the summary of factorization, it gives: [tex](y^2 + 8)^2 - (6y)^2[/tex]

I'm going through a tutorial and this last step is the one I can't figure out.

For some reason, I thought that (y-4)(y-2)(y+4)(y+2) = [tex](y^2 + 8)^2[/tex]

but instead: (y-4)(y-2)(y+4)(y+2) = [tex](y^2 + 8)^2 - (6y)^2[/tex]

My question is how the extra [tex](6y)^2[/tex] comes about.

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