Question

4y分之3x方的平方乘以3x分之2y加上2y方分之x方除以x分之2y方 等于?

Answer 1

4y分之3x方的平方乘以3x分之2y加上2y方分之x方除以x分之2y方
=(3x²/4y)² 乘以(2y/3x)加上(x²/2y²)除以(2y²/x)
=(9x^4/16y²)乘以(2y/3x)加上(x²/2y²)乘以(x/2y²)
=(18x^4y/48xy²)加上(x^3/4y^4)
=(3x^3/8y)加上(x^3/4y^4)
=(3x^3y^3+2x^3)/(8y^4)

Answer 2

4y分之3x方的平方乘以3x分之2y加上2y方分之x方除以x分之2y方
=3x²/4y×(2y/3x)+(x²/2y)÷(2y²/x)
=x+(x²/2y)×(x/2y²)
=x+(x³/4y³)

Answer 3

原式为: (3x²／4y )²× 2y／3x ＋ x²／2y² ÷ 2y²／x
=9x^4／16y² ×2y／3x ＋x²／2y² × x／2y²
=3x³／8y ＋x³／4y^4
=x³／8y (3＋ 2／y³)