charlyaxiong charlyaxiong
  • 22-09-2021
  • Mathematics
contestada

How do you do
(x+y)(x-5y)+3(x+y)^2
????
Emergency, please help with full steps

Respuesta :

rlesandisusanya
rlesandisusanya rlesandisusanya
  • 22-09-2021

Answer:

[tex]4 {x}^{2} + 2xy - 2 {y}^{2} [/tex]

Step-by-step explanation:

[tex](x + y)(x - 5y) + {3(x + y)}^{2} \\ x(x - 5y) + y(x - 5y) + 3(x + y)(x + y) \\ {x}^{2} - 5xy + xy - 5 {y}^{2} + (3x + 3y)(x + y) \\ {x}^{2} - 4xy - 5 {y}^{2} + 3x(x + y) + 3y(x + y) \\ {x}^{2} - 4xy - 5 {y}^{2} + 3 {x}^{2} + 3xy + 3xy + 3 {y}^{2} \\ {x}^{2} - 4xy - 5 {y}^{2} + 3 {x}^{2} + 6xy + 3 {y}^{2} \\ {x}^{2} + 3 {x}^{2} - 4xy + 6xy - 5 {y}^{2} + 3 {y}^{2} \\ 4 {x}^{2} + 2xy - 2 {y}^{2} [/tex]

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