а) 9b^2-(a-3b)^2 ;
б) (5a+7b)^2-70ab ;
в) (8a-b)^2-64a^2 ;
г) (5+y)^2+y(y-7) ;
д) a(4-a)+(4-a)^2 ;
е) (x-8)^2-2x(6-x)^2 ;
ж) (c+7)*c-(1-c)^2 ;
з) 2(a-b)^2 ;
и) a(1+2a)^2 ;
к) -6(2x-y)^2 ;
л) -y(3x-y)^2.
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Answers & Comments
б) (5a+7b)^2-70ab=25a^2+70ab+49b^2-70ab=25a^2+49b^2
в) (8a-b)^2-64a^2=64a^2-16ab+b^2-64a^2=b^2-16ab=b(b-16a)
г) (5+y)^2+y(y-7)= 25+10y+y^2+y^2-7y=25+3y+2y^2
д) a(4-a)+(4-a)^2 =4a-a^2+16-8a+a^2=16-4a=4(4-a)
е) (x-8)^2-2x(6-x)^2 =x^2-16x+64-2x(36-12x+x^2)=x^2-16x+64-72x+24x^2-2x^3=2x^3+25x^2-88x+64
ж) (c+7)*c-(1-c)^2 =c^2+7c-1+2c-c^2=9c-1
з) 2(a-b)^2 =2(a^2-2ab+b^2)=2a^2-4ab+2b^2
и) a(1+2a)^2=a+4a^2+4a^3
;к) -6(2x-y)^2 =-6(4x^2-4xy+y^2)=24xy-24x^2-6y^2
л) -y(3x-y)^2=-y(9x^2-6xy+y^2)=6xy^2-y^3-9x^2y