№1
1) x^2+18x+81
2) 9a^2-58ab+64b^2
3) m^2-7m+7m-49=m^2-49
4) 60ab-6a^2+100b^2-60ab=100b^2-6a^2
№2
1)(C-1)(C+1)
2) (x-2)^2
3) (5y-2)(5y+2)
4) (6a-5b)^2
№3
1) x^2+3x-3x-9-(x^2-8x+16)=x^2-9-x^2+8x-16=8x-25
№4
1) (5x-1)(x+2)+3(x-4)(x+4)=2(2x+3)^2-8=5x^2+10x-x-2+3x^2-48-(2(4x^2+12x+9)=5x^2+10x-x-2+3x^2-48-8x^2-24x-18=-15x-68
№5
1(3a-1)^2-(a+2)^2=9a^2-6a+1-a^2-4a-4=8a^2-10a-3
№6
(a^2-36)(36+a^2 )-(a^2-18)^2=36a^2+a^4-36*36-36a^2-(a^4-36a^2+18*18)=36a^2+a^4-36*36-36a^2-a^4+36a^2-18*18=-36*36+36a^2-18*18=1296+36*(1/6)^2-324=973
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Answers & Comments
№1
1) x^2+18x+81
2) 9a^2-58ab+64b^2
3) m^2-7m+7m-49=m^2-49
4) 60ab-6a^2+100b^2-60ab=100b^2-6a^2
№2
1)(C-1)(C+1)
2) (x-2)^2
3) (5y-2)(5y+2)
4) (6a-5b)^2
№3
1) x^2+3x-3x-9-(x^2-8x+16)=x^2-9-x^2+8x-16=8x-25
№4
1) (5x-1)(x+2)+3(x-4)(x+4)=2(2x+3)^2-8=5x^2+10x-x-2+3x^2-48-(2(4x^2+12x+9)=5x^2+10x-x-2+3x^2-48-8x^2-24x-18=-15x-68
№5
1(3a-1)^2-(a+2)^2=9a^2-6a+1-a^2-4a-4=8a^2-10a-3
№6
(a^2-36)(36+a^2 )-(a^2-18)^2=36a^2+a^4-36*36-36a^2-(a^4-36a^2+18*18)=36a^2+a^4-36*36-36a^2-a^4+36a^2-18*18=-36*36+36a^2-18*18=1296+36*(1/6)^2-324=973