Explicación paso a paso:
[tex] \frac{1}{4} x²y² - \frac{3}{2} x²y² - \frac{7}{3} x⁴ + \frac{3}{2} x²y² - \frac{5}{3} x⁴[/tex]
agrupar los que tienen las mismas variables
[tex] \frac{1}{4} x²y² - \frac{3}{2} x²y²+ \frac{3}{2} x²y²- \frac{7}{3} x⁴ - \frac{5}{3} x⁴[/tex]
sumar
[tex] (\frac{1}{4} - \frac{3}{2}+ \frac{3}{2}) x²y² + (- \frac{7}{3} - \frac{5}{3})x⁴ \\ \frac{1}{4} x²y² - \frac{12}{3} x⁴ [/tex]
[tex]\frac{1}{4} x²y² - 4x⁴ = \frac{{x}^{2} {y}^{2} - 16 {x}^{4} }{4} [/tex]
[tex] \frac{(xy + 4 {x}^{2})(xy - 4 {x}^{2})}{4} = \frac{ {x}^{2}(y + 4x)(y - 4x) }{4} [/tex]
eso me sale, espero haberte ayudado
