Question

simplifique (2x + 3y)² - (2x + 3y) . (2x - 3y)​

Answer 1

Resposta:

12xy+18y²

Explicação;

(2x+3y)²-(2x+3y)×(2x-3y) =

(4x²+6xy+6xy+9y²)-(2x+3y)×(2x-3y) =

4x²+12xy+9y²-(2x+3y)×(2x-3y) =

4x²+12xy+9y²-(4x²-6xy+6xy-9y²) =

4x²+12xy+9y²-(4x²-9y²) =

4x²+12xy+9y²-4x²+9y² =

4x²-4x²+12xy+9y²+9y² =

12xy+18y²