Question

producto notable
$(3 {m}^{2} - 2n {)}^{2}$
​

Answer 1

Respuesta:

$9 {m}^{4} - 12 {m}^{2} + 4 {n}^{2}$

Explicación paso a paso:

》Formula del binomio al cuadrado:

${(a </strong><strong>-</strong><strong> </strong><strong>b)}^{2} = {a}^{2} </strong><strong>-</strong><strong> </strong><strong>2ab + {b}^{2}$

》Entonces aplicando al ejercicio:

$(3 {m}^{2} - 2n {)}^{2} = {(3 {m}^{2} )}^{2} - 2(3 {m}^{2} )(2n) + {(2n)}^{2} \\ (3 {m}^{2} - 2n {)}^{2} =9 {m}^{4} - 12 {m}^{2} + 4 {n}^{2}$