1:运用完全平方式计算 (1)199的平方=?) 2(m-3)(-m+3)=?) 3 一药品分两次降价,设平均每次降价的
1个回答

1.(1)199^2=(200-1)^2=40000-400+1=39601

2.(m-3)(-m+3)=-(m-3)^2=-m^2+6m-9

3.a(1-x)^2

4.(1)(2/x+5)^2-(2/x-5)^2=(2/x+5+2/x-5)(2/x+5-2/x+5)=4/x·10=40/x

(2)(x-2y)(x+2y)-(x+2y)^2=x^2-4y^2-(x^2+4xy+4y^2)=-4xy

5.(1)99^2=(100-1)^2=10000-200+1=9801

(2)没看懂

6.(1)(x-y)^2-y(x+y)=x^2-2xy+y^2-xy-y^2=x^2-3xy

(2)(2x-y-1)(2x-y+1)=(2x-y)^2-1

(3)(a+2b)(a-2b)(a^2-4b^2)=(a^2-4b^2)^2=a^4-8a^2b^2+16b^4

(4)(2a-3b+1)^2=(2a-3b)^2+2(2a-3b)+1=4a^2-12ab+9b^2+4a-6b+1

7.x^2+y^2-4x-6y+13=0

x^2-4x+4+y^2-6y+9=0

(x-2)^2+(y-3)^2=0

x=2 y=3

3x+4y=18