Respuesta :
multiply everything in the first parenthasis by everything in the second parentahsis
(s-t)(2s-3t) = 2s²-3st-2st+3t² then combine like terms
2s²-5st+3t²
(s-t)(2s-3t) = 2s²-3st-2st+3t² then combine like terms
2s²-5st+3t²
FOIL:
First
Outter
Inner
Last
s*(2s)+(s)*(-3t)+(-t)*(2s)+(-t)*(-3t)
(2s2)+(−3st)+(−2st)+(3t2)==(2s2)+(−3st)+(−2st)+(3t2)=
First
Outter
Inner
Last
s*(2s)+(s)*(-3t)+(-t)*(2s)+(-t)*(-3t)
(2s2)+(−3st)+(−2st)+(3t2)==(2s2)+(−3st)+(−2st)+(3t2)=
=2s2−5st+3t2=2s2−5st+3t2.
Answer: (s−t)(2s−3t)=2s2−5st+3t2(s−t)(2s−3t)=2s2−5st+3t2.