Respuesta :
Answer:
4x² + 9y² + 12x - 18y - 12xy + 9
Step-by-step explanation:
Given
(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)
Distribute the 3 parenthesis
= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms
= 4x² + 9y² + 12x - 18y - 12xy + 9
Answer:
Step-by-step explanation:
(x+ y + z)² = x² +y² + z² + 2xy +2yz + 2zx
Here, x = 2x ; y = -3y & z = 3
(2x - 3y + 3)² = (2x)² + (-3y)² + 3² + 2(2x)(-3y) + 2(-3y)3 + 2*3*(2x)
= 4x² + 9y² + 9 - 12xy - 18y + 12x