How do you factor the expression $20 r^{2} + 8 r s + 25 r s + 10 s^{2}$ $20r^2 + 8rs + 25rs + 10s^2$ ?

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Answer 1 · 2016-06-10T03:01:10

(5r + 2s)(4r + 5s)

$f (r, s) = (20 r^{2} + 8 r s) + (25 r s + 10 s^{2}) =$ $f(r,s) = (20r^2 + 8rs) + (25rs + 10s^2) =$
= 4r(5r + 2s) + 5s(5r + 2s) = (5r + 2s)(4r + 5s)

How do you factor the expression 20r2+8rs+25rs+10s220r^2 + 8rs + 25rs + 10s^2 ?