Question

1. CALCULA LOS SIGUIENTES PRODUCTOS NOTABLES, UTILIZANDO LAS DOS FORMAS (LARGA Y CORTA): a. (3m - 2z)2 b. (2x3 + y2)2​

Answer 1

$a) {(3m - 2z)}^{2} = {(3m)}^{2} + {(2z)}^{2} - 2 \times 3m \times 2z = 9 {m}^{2} + 4 {z}^{2} - 12mz$

$b) {(2 {x}^{3} + {y}^{2} )}^{2} = {(2 {x}^{3} )}^{2} + { ({y}^{2} )}^{2} + 2 \times 2 {x}^{3} \times {y}^{2} = 4 {x}^{6} + {y}^{4} + 4 {x}^{3} {y}^{2}$

Explicación paso a paso:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$