1/4(a-b)^2+3(a-b)(a+b)+9(a+b)^2
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1/4(a-b)^2+3(a-b)(a+b)+9(a+b)^2
1/4(a-b)^2+3(a-b)(a+b)+9(a+b)^2
1/4(a-b)^2+3(a-b)(a+b)+9(a+b)^2
1/4(a-b)^2+3(a-b)(a+b)+9(a+b)^2
=[1/2(a-b)+3(a+b)]^2
=[a/2-b/2+3a+3b]^2
=[7a/2+5b/2)^2
设x=a-b, y=a+b
那么原式=1/4*x^2+3x*y+9*y^2=(1/2*x+3y)^2=(1/2*a-1/2*b+3a+3b)^2=(3.5a+2.5b)^2