Упростить выражение 4с(с-2)-(с-4)^23a(a+2)-(a+3)^23(y-1)^2+6y8c+4(1-c)^24ab+2(a-b)^23(x+y)^2-6xy3a(a-2)-(a-3)^2(a-4)^2-2a(3a-4)(x-y)^2-x(x-2y)a(a-2b)-(a+b)^2(a-3)(a-7)-2a(3a-5)(x-2)(x+4)-2x(1+x)2c(3c+4)-3c(2c+1)3a(2a-1)-2a(4+3a...
Упростить выражение 4с(с-2)-(с-4)^2
3a(a+2)-(a+3)^2
3(y-1)^2+6y
8c+4(1-c)^2
4ab+2(a-b)^2
3(x+y)^2-6xy
3a(a-2)-(a-3)^2
(a-4)^2-2a(3a-4)
(x-y)^2-x(x-2y)
a(a-2b)-(a+b)^2
(a-3)(a-7)-2a(3a-5)
(x-2)(x+4)-2x(1+x)
2c(3c+4)-3c(2c+1)
3a(2a-1)-2a(4+3a)
(b+c)(b-c)-b(b-2c)
(a-c)(a+c)-c(3a-c)
a(a+5b)-(a+b)(a-b)
b(3a-b)-(a-b)(a+b)
(y+10)(y-2)-4y(2-3y)
(a-4)(a+9)-5a(1-2a)
(2b-3)(3b+2)-3b(2b+3)
(3a-1)(2a-3)-2a(3a+5)
(m+3)^2-(m-2)(m+2)
(a-1)^2-(a+1)(a-2)
(c+2)(c-3)-(c-1)^2
(y-4)(y+4)-(y-3)^2
(a-2)(a+4)-(a+1)^2
(b-4)(b+2)-(b-1)^2
Ответ(ы) на вопрос:
4с(с-2)-(с-4)^2= 3с^2 - 16 3a(a+2)-(a+3)^2= 2a^2 - 9 3(y-1)^2+6y= 3(y^2 - 1) 8c+4(1-c)^2= (2- c)^2 4ab+2(a-b)^2= 2(a - b)(a + b) 3(x+y)^2-6xy= 3(x^2 + y^2) 3a(a-2)-(a-3)^2 = 2a^2 - 9 (a-4)^2-2a(3a-4) = 16 - 5a^2 (x-y)^2-x(x-2y) = y^2 a(a-2b)-(a+b)^2 = b(-4a - b) (a-3)(a-7)-2a(3a-5) = 21 - 5a^2 (x-2)(x+4)-2x(1+x) = -8 - x^2 2c(3c+4)-3c(2c+1) = 5c 3a(2a-1)-2a(4+3a) = -11a (b+c)(b-c)-b(b-2c) = c(2b - c) (a-c)(a+c)-c(3a-c) = a(a - 3c) a(a+5b)-(a+b)(a-b) = b(b - 5a) b(3a-b)-(a-b)(a+b) = a(3b - a) (y+10)(y-2)-4y(2-3y) = 13y^2 - 20 (a-4)(a+9)-5a(1-2a) = 11a^2 - 36 (2b-3)(3b+2)-3b(2b+3) = b - 6 (3a-1)(2a-3)-2a(3a+5) = 3(1 - 7a) (m+3)^2-(m-2)(m+2) = 6m + 13 (a-1)^2-(a+1)(a-2) =3 - a (c+2)(c-3)-(c-1)^2 = c - 7 (y-4)(y+4)-(y-3)^2 = 6y - 25 (a-2)(a+4)-(a+1)^2 = a^2 + 2a - 7 (b-4)(b+2)-(b-1)^2 = b^3 + 3b^2 - 2b - 7
[latex]1)4c(c-2)-(c-4)^{2}=4c^{2}-8c-c^{2}+8c-16=3c^{2}-16[/latex] [latex]2)3a(a+2)-(a+3)^{2}=3a^{2}+6a-a^{2}-6a-9=2a^{2}-9[/latex] [latex]3)3(y-1)^{2}+6y=3y^{2}-6y+3+6y=3y^{2}+3[/latex] [latex]4) 8c+4(1-c)^{2}=8c+4-8c+4c^2=4+4c^2[/latex] [latex]5) 4ab+2(a-b)^2=4ab+2a^2-4ab+2b^2=2a^2+2b^2[/latex] [latex]6) 3(x+y)^2-6xy=3x^2+6xy+3y^3-6xy=3x^2+3y^2[/latex] [latex]7)3a(a-2)^2-(a-3)^2=3a^2-6a-a^2+6a-9==2a^2-9[/latex] [latex]8)(a-4)^2-2a(3a-4)=a^2-8a+16-6a^2+8a=16-5a^2[/latex] [latex]9) (x-y)^2-x(x-2y)=x^2-2xy+y^2-x^2+2xy=y^2[/latex] [latex]10) a(a-2b)-(a+b)^2=a^2-2ab-a^2-2ab-b^2=-4ab-b^2[/latex] [latex]11) (a-3)(a-7)-2a(3a-5)=a^2+7a-3a-21-6a^2+10a[/latex][latex]=14a-5a^2-21[/latex] [latex]12) (x-2)(x+4)-2x(1+x)=x^2+4x-2x-8-2x-2x^2[/latex][latex]=-x^2-8[/latex] [latex]13) 2c(3c+4)-3c(2c+1)=6c^2+8c-6c^2-3c=5c[/latex] [latex]14)3a(2a-1)-2a(4+3a)=6a^2-3a-8a-6a^2=-11a^2[/latex] [latex]15) (b+c)(b-1)-b(b-2c)=b^2-b+cb-c-b^2+2cb=3cb-b-c[/latex] [latex]16) (a-c)(a+c)-c(3a-c)=a^2-c^2-3ac+c^2=a^2-3ac[/latex] [latex]17) a(a+5b)-(a+b)(a-b)=a^2+5ab-a^2+b^2=5ab+b^2[/latex] [latex]18) b(3a-b)-(a-b)(a+b)=3ab-b^2-a^2+b^2=3ab-a^2[/latex] [latex]19) (y+10)(y-2)-4y(2-3y)=y^2-2y+10y-20-8y+[/latex][latex]+12y^2=13y^2-20[/latex] [latex]20) (a-4)(a+9)-5a(1-2a)=a^2+9a-4a-36-5a+10a^2=11a^2-36[/latex] [latex]21)(2b-3)(3b+2)-3b(2b+3)=6b^2+4b-9b-6-6b^2-9b[/latex][latex]=-11b-6[/latex] [latex]22) (3a-1)(2a-3)-2a(3a+5)=6a^2-9a-2a+3-6a^2-10[/latex][latex]a=-21+3[/latex] [latex]23) (m+3)^2-(m-2)(m+2)=m^2+6m+9-m^2+4=6m+13[/latex] [latex]24) (a-1)^2-(a+1)(a-2)=a^2-2a-1-a^2+2a-a+12=-a+1[/latex] [latex]25) (c+a)(c-3)-(c-1)^2=c^2-3c+2c-6-c^2+2c-1=c-7[/latex] [latex]26) (y-4)(y+4)-(y-3)^2=y^2+4y-4y-16-y^2+6y-9=-25[/latex] [latex]27) (a-2)(a+4)-(a+1)^2=a^2+4a-2a-8-a^2-2a-1=-9[/latex] [latex]28) (b-4)(b+2)-(b-1)^2=b^2+2b-4b-8-b^2+2b-1=-9[/latex]
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