Question

1) desenvolva os produtos notáveis ?

Answer 1

$a)(3x + y)^{2} = {(3x)}^{2} + 2.3x.y + {y}^{2} = 9 {x}^{2} + 6xy + {y}^{2} \\ b)(3a + 2)^{2} = ( {3a})^{2} + 2.3a.2 + {2}^{2} = 9 {a}^{2} + 12a + 4 \\ c)(3a - 5)^{2} = {(3a})^{2} - 2.3a.5 + {5}^{2} = 9 {a}^{2} - 30a + 25 \\ d)(3x - 2y)^{2} = {(3x)}^{2} - 2.3x.2y + {(2y)}^{2} = 9 {x}^{2} - 12xy + 4 {y}^{2} \\ e)(3 {a}^{2} - 1).(3 {a}^{2} + 1) = {(3 {a}^{2} })^{2} - {1}^{2} = 9 {a}^{4} - 1 \\ f)(x + 11).(x - 11) = {x}^{2} - {11}^{2} = {x}^{2} - 121$