How do you factor by grouping: $r^{2} - 20 t w + 4 w r - 5 t r$ $r^2 - 20tw + 4wr - 5tr$ ?

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Answer 1 · 2015-04-09T23:03:26

$r^{2} - 20 t w + 4 w r - 5 t r$ $r^2-20tw+4wr-5tr$

Group $r^{2}$ $r^2$ and $- 5 t r$ $-5tr$ , and $4 w r - 20 t w$ $4wr-20tw$ .

$r^{2} - 5 t r + 4 w r - 20 t w$ $r^2-5tr+4wr-20tw$

Factor out the $r$ $r$ from the first group, $r^{2} - 5 t r$ $r^2-5tr$ .

$r (r - 5 t) + 4 w r - 20 t w$ $r(r-5t)+4wr-20tw$

Factor out $4 w$ $4w$ from the second group, $4 w r - 20 t w$ $4wr-20tw$ .

$r (r - 5 t) + 4 w (r - 5 t)$ $r(r-5t)+4w(r-5t)$

Factor out the common term.

$(r + 4 w) (r - 5 t)$ $(r+4w)(r-5t)$

How do you factor by grouping: r2−20tw+4wr−5trr^2 - 20tw + 4wr - 5tr?