求计算题解答(1)3a-3b/10ab·25a²b³/a²-b²(2)4y²-x²/x²+2xy+y²÷x-2y/2x²
1个回答

(1)3a-3b/10ab · 25a^2b^3/a^2-b^2

=3(a-b)/10ab· 25ab(ab^2)/(a+b)(a-b)

=3(a-b)/2*5ab· 5*5ab(ab^2)/(a+b)(a-b)

=3*5(ab^2)/2(a+b)

=15ab^2/2a+2b

(2)(x²-4y²)/(x²+2xy+y²)÷(x+2y)/(2x²+2xy)

=[(x-2y)*(X+2Y)]/(X+Y)^2 ÷(x+2y)/[2x*(x+y)]

=[(x-2y)*(X+2Y)]/(X+Y)^2*[2x*(x+y)]/(X+2Y)

=(X-2Y)*2X/(X+Y)

(3)=(a+b)²(a-b)²/b²÷[a³(a+b)³]×a²b²/(b-a)²

=(a+b)²(a-b)²/b²×1/[a³(a+b)³]×a²b²/(b-a)²

=1/[a(a+b)]

=1/(a²+ab)

=1/9

(4)=(m+4)(m-4)/[-3(m-4)]×1/m(m+4)

=-1/3m