(3x-5y+4)(9x^2+25y^2+15xy-20y+12x+16)

Asked by mmansingh949 | 21st Jun, 2022, 09:54: AM

Expert Answer:

open parentheses 3 straight x minus 5 straight y plus 4 close parentheses open parentheses 9 straight x squared plus 25 straight y squared plus 15 xy minus 20 straight y plus 12 straight x plus 16 close parentheses
equals open parentheses 3 straight x minus 5 straight y plus 4 close parentheses open square brackets open parentheses 3 straight x close parentheses squared plus open parentheses negative 5 straight y close parentheses squared minus left parenthesis 3 straight x right parenthesis left parenthesis negative 5 straight y right parenthesis minus left parenthesis negative 5 straight y right parenthesis left parenthesis negative 4 right parenthesis minus left parenthesis negative 4 right parenthesis left parenthesis 3 straight x right parenthesis plus left parenthesis negative 4 right parenthesis squared close square brackets
equals open parentheses 3 straight x minus 5 straight y plus 4 close parentheses open square brackets open parentheses 3 straight x close parentheses squared plus open parentheses negative 5 straight y close parentheses squared plus left parenthesis negative 4 right parenthesis squared minus left parenthesis 3 straight x right parenthesis left parenthesis negative 5 straight y right parenthesis minus left parenthesis negative 5 straight y right parenthesis left parenthesis negative 4 right parenthesis minus left parenthesis negative 4 right parenthesis left parenthesis 3 straight x right parenthesis close square brackets
space space space space space space... space left square bracket Since comma space straight a cubed plus straight b cubed plus straight c cubed minus 3 abc equals left parenthesis straight a plus straight b plus straight c right parenthesis left parenthesis straight a squared plus straight b squared plus straight c squared minus ab minus bc minus ca right parenthesis right square bracket
equals left parenthesis 3 straight x right parenthesis cubed plus left parenthesis negative 5 straight y right parenthesis cubed plus left parenthesis negative 4 right parenthesis cubed minus 3 left parenthesis 3 straight x right parenthesis left parenthesis negative 5 straight y right parenthesis left parenthesis negative 4 right parenthesis
equals 27 straight x cubed minus 125 straight y cubed minus 64 minus 180 xy

Answered by Renu Varma | 21st Jun, 2022, 10:07: PM