Question

Son productos notables ​

Answer 1

Respuesta:

Son productos notables ​

Explicación paso a paso:

$\left(5ab-3xy^5\right)^2\\=\left(5ab\right)^2-2\cdot \:5ab\cdot \:3xy^5+\left(3xy^5\right)^2\\=25a^2b^2-30abxy^5+9x^2y^{10}$

$\left(\frac{2m^2}{4}+\frac{2n^4}{3}\right)\left(\frac{2m^2}{4}\right)\\\\=\left(\frac{2m^2}{4}+\frac{2n^4}{3}\right)\frac{2m^2}{4}\\\\=\left(\frac{m^2}{2}+\frac{2n^4}{3}\right)\frac{2m^2}{4}\\\\=\frac{\left(\frac{m^2}{2}+\frac{2n^4}{3}\right)m^2}{2}\\\\=\frac{\frac{\left(m^2\cdot \:3+4n^4\right)m^2}{6}}{2}\\\\=\frac{\left(m^2\cdot \:3+4n^4\right)m^2}{6\cdot \:2}\\\\=\frac{\left(m^2\cdot \:3+4n^4\right)m^2}{12}\\\\=\frac{\left(3m^2+4n^4\right)m^2}{12}$

$=\frac{3m^4+4m^2n^4}{12}\\\\=\frac{m^4}{4}+\frac{4m^2n^4}{12}\\\\=\frac{m^4}{4}+\frac{m^2n^4}{3}$