(a -1 6b)(2a 1 30

16{2a+b}-9{a-b}²=[(4(2a+b)+3(a-b)][4(2a+b)-3(a-b)]=(11a+b)(5a+7b)

4(a+b)^2-16b^2=[2(a+b)+4b][2(a+b)-4b]=(2a+6b)(2a-2b)=4(a+3b)(a-b)如果本题有什么不明白可以追问,另外发并点击我的头像向我求助,请谅解,

9（a-b）^2-16（a+b）^29（a-b）^2-16（a+b）^2=[3（a-b）]²-[4（a+b）]²=[3（a-b）+4（a+b）][3（a-b）-4（a+b）]=（3

=[3（a-b）]^2+24（a-b）+4^2=[3（a-b）+4]^2再答：呵呵

{[(2a-b)/(a+b)]-[b/(a-b)]}÷[(a-2b)/(a+b)]=(2a²-4ab)/[(a+b)(a-b)]×(a+b)/(a-2b)=(2a²-4ab)/(a

=2b2/a+a=(2b2-a2)/a

16（a-b）^2-25（a+b)^2=[4(a-b)+5(a+b)][4(a-b)-5(a+b)]=(9a+b)(-a-9b)=-(9a+b)(a+9b)

分母分子都乘以(a+b)(a-b)(2a^2-3ab+b^2-ab-b^2)/(a^2-3ab-2b^2)(2a^2-4ab)/((a-2b)(a-b))2a(a-2b)/((a-2b)(a-b))2

9(a-b)^2-16(a+b)^2=9a^2+9b^2-18ab-16a^2-16b^2-32ab=-7a^2-7b^2-50ab=-(a+7b)(7a+b)

：((a+b)(a-b)-(a-b)^2+2b(a-b))/4(a-b)=(a-b)[(a+b)-(a-b)+2b]/4(a-b)=(a-b)[2b+2b]/4(a-b)=

9(a-b)²-16(a+b)²=9a²-18ab+9b²-16a²-32ab-16b²=-7a²-50ab-7b²=-

49(a+b)^2-16(b-a)^2=[7(a+b)+4(b-a)][7(a+b)-4(b-a)]=(7a+7b+4b-4a)(7a+7b-4b+4a)=(3a+11b)(3b+11a)（a-b)(

用平方差公式：16*(a-b)^2-9*(a+b)^2=[4*(a-b)]^2-[3*(a+b)]^2=[4*(a-b)+3*(a+b)]*[4*(a-b)-3*(a+b)]=(7a-b)(a-7b)

25(a+b)^2-16(b-a)^2=[5(a+b)+4(a-b)][5(a+b)-4(a-b)]=(9a+b)(a+9b)

2a-b/a+b-b/a-b)除以a-2b/a+b=[(2a-b)(a-b)-b(a+b)]/(a+b)(a-b)x(a+b)/(a-2b)=(2a²-3ab+b²-ab-b

a²-16(a-b)²=[a-4(a-b)][a+4(a-b)]=(a-4a+4b)(a+4a-4b)=(4b-3a)(5a-4b)

(a+b）^2-16a^2=a^2+2ab+b^2-16a^2=b^2+2ab-15a^2=(b+5a)(b-3a)(x^2+4)^2-4x^2=(x^2+4)^2-(2x)^2=(x^2+2x+4)

(2a-b/a+b-b/a-b)除以a-2b/a+b=[(2a-b)(a-b)-b(a+b)]/(a+b)(a-b)x(a+b)/(a-2b)=(2a²-3ab+b²-ab-b&#

=[4(a+b)+5(a-b)]^2=(4a+4b+5a-5b)^2=(9a-b)^2

16（a-b）^2-9（a+b）^2=[4(a-b)+3(a+b)]*[4(a-b)-3(a+b)]=（7a-b)(a-7b)