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How do you factor $- 100 r^{2} + 1$ $-100r^2+1$ ?

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Jun 4, 2015

$- 100 r^{2} + 1$ $-100r^2+1$
$XXXX$ $color(white)("XXXX")$ could be written as
$1^{2} - {(10 r)}^{2}$ $1^2 - (10r)^2$
$XXXX$ $color(white)("XXXX")$ and as such is the difference of squares with factors:
( $1 + 10 r) (1 - 10 r)$ $1+10r)(1-10r)$

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