Question

Resuelve la siguente expresión álgebraica :​

Answer 1

Respuesta:

$10 {x}^{3} {y}^{3} - 2 {x}^{2} {y}^{2} - 12 {x}^{4} {y}^{4}$

Explicación paso a paso:

$(a + b)(c + d) = ac + ad + bc + bd$

$(2xy - {4x}^{2} {y}^{2} )(3 {x}^{2} {y}^{2} - xy) = 2xy \times {3x}^{2} {y}^{2} + 2xy( - xy) - {4x}^{2} {y}^{2} \times {3x}^{2} {y}^{2} - {4x}^{2} {y}^{2} ( - xy)$

$= 2xy \times {3x}^{2} {y}^{2} + 2xy( - xy) - {4x}^{2} {y}^{2} \times {3x}^{2} {y}^{2} - {4x}^{2} {y}^{2} ( - xy)$

simplificamos

$10 {x}^{3} {y}^{3} - 2 {x}^{2} {y}^{2} - 12 {x}^{4} {y}^{4}$