Question

Selecciona la respuesta correcta de los siguientes productos notables. Justifica tu respuesta.

Answer 1

Explicación paso a paso:

${(x + 3)}^{2} = {x}^{2} + 2(x)(3) + {3}^{2} \\ = {x}^{2} + 6x + 9$

${( - 2 {x}^{2} - 3y) }^{2} = {( - 2 {x}^{2})}^{2} - 2( - 2 {x}^{2})(3y) + {(3y)}^{2} \\ = 4 {x}^{4} + 12 {x}^{2} y + 9 {y}^{2}$

${(x + 3)}^{3} = {x}^{3} + 3 {(x)}^{2} (3) + 3(x) {(3)}^{2} + {3}^{3} \\ = {x}^{3} + 9 {x}^{2} + 27x + 27$

${(2x - 3)}^{3} = {(2x)}^{2} - 3 {(2x)}^{2} (3) - 3(2x) {(3)}^{2} + {3}^{3} \\ = 8 {x}^{3} - 36 {x}^{2} + 54x - 27$