Toán Lớp 8: tính:(1/(2x-y)^2 +2/4x^2-y^2 +1/(2x+y)^2 )*4x^2 +4xy+y^2 /16x

Question

Toán Lớp 8:  tính:(1/(2x-y)^2 +2/4x^2-y^2 +1/(2x+y)^2 )*4x^2 +4xy+y^2 /16x

tuyen98 · Answer

Giải đáp:   $=x left(4x left( frac{1}{ left(2x-y right)^2}+ frac{x^2}{2}-y^2+ frac{1}{ left(2x+y right)^2} right)+4y+ frac{y^2}{16} right)$   Lời giải và giải thích chi tiết:   $ left( frac{1}{ left(2x-y right)^2}+ frac{2}{4}x^2-y^2+ frac{1}{ left(2x+y right)^2} right) cdot  :4x^2+4xy+ frac{y^2}{16}x$   $=x left( left( frac{1}{ left(2x-y right)^2}+ frac{2}{4}x^2-y^2+ frac{1}{ left(2x+y right)^2} right) cdot  :4x+4y+ frac{y^2}{16} right)$   $=x left( left( frac{1}{ left(2x-y right)^2}+ frac{1}{2}x^2-y^2+ frac{1}{ left(2x+y right)^2} right) cdot  :4x+4y+ frac{y^2}{16} right)$   $=x left(4 left( frac{1}{ left(2x-y right)^2}+ frac{x^2}{2}-y^2+ frac{1}{ left(2x+y right)^2} right)x+4y+ frac{y^2}{16} right)$   $=x left(4x left( frac{1}{ left(2x-y right)^2}+ frac{x^2}{2}-y^2+ frac{1}{ left(2x+y right)^2} right)+4y+ frac{y^2}{16} right)$