计算(3y)分之2x+(3y)分之5x(3y)分之2x+(3y)分之5x(x+y)分之2y-(y+x)分之y-x(x²+3x)分之x²+9x+(x²+6x+9)分之x²-9

问题描述:

计算(3y)分之2x+(3y)分之5x
(3y)分之2x+(3y)分之5x
(x+y)分之2y-(y+x)分之y-x
(x²+3x)分之x²+9x+(x²+6x+9)分之x²-9

(3y)分之2x+(3y)分之5x
=(3y)分之(2x+5x)
=(3y)分之(7x)
(x+y)分之2y-(y+x)分之y-x
=(x+y)分之2y-(x+y)分之(y-x)
=(x+y)分之(2y-y+x)
=(x+y)分之(x+y)
=1
(x²+3x)分之x²+9x+(x²+6x+9)分之x²-9
=x(x+3)分之x(x+9)+(x+3)²分之(x²-9)
=(x+3)²分之(x+3)(x+9)+(x+3)²分之(x²-9)
=(x+3)²分之[(x+3)(x+9)+(x²-9)]
=(x+3)²分之(x²+12x+27+x²-9)
=(x+3)²分之(2x²+12x+18)
=(x+3)²分之2(x+3)²
=2