Question

efectuar (2xy³-5z⁴)²​

Answer 1

Respuesta:$=4x^{2} y^{6}-20xy^{3}z^{4} +25z^{8}$

Explicación paso a paso:

aplicar la formula de binomio $(a-b)^{2}=a^{2}-2ab+b^{2}$

$(2xy^{3} -5z^{4} )^{2}=(2xy^{3} ) ^{2}-2*2xy^{3}*5^{4}+(5z^{4})^{2}$

$(2xy^{3})^{2}-2*2xy^{3}*5z^{4}+(5z^{4})^{2}$$4x^{2}y^{6}-20x^{3}z^{4}+25z^{8}$

$(2xy^{3})^{2}-2*2xy^{3}*5z^{4}+(5z^{4})^{2} =4x^{2}y^{6}-20x^{3}z^{4}+25z^{8}$

$4x^{2}y^{6}-20x^{3}z^{4}+25z^{8}$