Question

Разложите на множители
4/25y^4+y^2*t^3+25/16t^6​
​

Answer 1

$\frac{4}{25}y^4+y^2*t^3+\frac{25}{16} *t^6$=

$(\frac{2}{5} y^2)^2+2*\frac{2}{5}*\frac{5}{4}*y^2*t^3+(\frac{5}{4} *t^3)^2$=

$(\frac{2}{5} y^2+\frac{5}{4} t^3)^2$

Ответ:$(\frac{2}{5} y^2+\frac{5}{4} t^3)^2$