Ответы
Ответ дал:
1
1)B
2)A
3)A
4)B
5)C
6)B
7)A
8)A
9)C
10)B
2)A
3)A
4)B
5)C
6)B
7)A
8)A
9)C
10)B
Помогитеебсжьс:
спааасибо огромное
Ответ дал:
1
1.
![9x^2-9=9(x+1)(x-1) 9x^2-9=9(x+1)(x-1)](https://tex.z-dn.net/?f=9x%5E2-9%3D9%28x%2B1%29%28x-1%29)
Ответ:![B B](https://tex.z-dn.net/?f=B)
2.
![(n-5m)(5m+n)=(n-5m)(n+5m)=n^2-25m^2 (n-5m)(5m+n)=(n-5m)(n+5m)=n^2-25m^2](https://tex.z-dn.net/?f=%28n-5m%29%285m%2Bn%29%3D%28n-5m%29%28n%2B5m%29%3Dn%5E2-25m%5E2)
Ответ:![A A](https://tex.z-dn.net/?f=A)
3.
![(a+c)(a-c)-(a-2c)^2=a^2-c^2-(a^2-4ac+4c^2)=\\
=a^2-c^2-a^2+4ac-4c^2=4ac-5c^2 (a+c)(a-c)-(a-2c)^2=a^2-c^2-(a^2-4ac+4c^2)=\\
=a^2-c^2-a^2+4ac-4c^2=4ac-5c^2](https://tex.z-dn.net/?f=%28a%2Bc%29%28a-c%29-%28a-2c%29%5E2%3Da%5E2-c%5E2-%28a%5E2-4ac%2B4c%5E2%29%3D%5C%5C%0A%3Da%5E2-c%5E2-a%5E2%2B4ac-4c%5E2%3D4ac-5c%5E2)
Ответ:![A A](https://tex.z-dn.net/?f=A)
4.
![(x-8)^2-(7-x)^2=x^2-16x+64-(49-14x+x^2)=\\
=x^2-16x+64-49+14x-x^2=15-2x (x-8)^2-(7-x)^2=x^2-16x+64-(49-14x+x^2)=\\
=x^2-16x+64-49+14x-x^2=15-2x](https://tex.z-dn.net/?f=%28x-8%29%5E2-%287-x%29%5E2%3Dx%5E2-16x%2B64-%2849-14x%2Bx%5E2%29%3D%5C%5C%0A%3Dx%5E2-16x%2B64-49%2B14x-x%5E2%3D15-2x)
Если
то
![15+2=17 15+2=17](https://tex.z-dn.net/?f=15%2B2%3D17)
Ответ:![B B](https://tex.z-dn.net/?f=B)
5.
![a^2-1+2a(a^2-1)+a^2(a^2-1)=1(a^2-1)+2a(a^2-1)+a^2(a^2-1)=\\=(a^2+2a+1)(a^2-1)=(a+1)^2(a^2-1)=(a+1)^3(a-1) a^2-1+2a(a^2-1)+a^2(a^2-1)=1(a^2-1)+2a(a^2-1)+a^2(a^2-1)=\\=(a^2+2a+1)(a^2-1)=(a+1)^2(a^2-1)=(a+1)^3(a-1)](https://tex.z-dn.net/?f=a%5E2-1%2B2a%28a%5E2-1%29%2Ba%5E2%28a%5E2-1%29%3D1%28a%5E2-1%29%2B2a%28a%5E2-1%29%2Ba%5E2%28a%5E2-1%29%3D%5C%5C%3D%28a%5E2%2B2a%2B1%29%28a%5E2-1%29%3D%28a%2B1%29%5E2%28a%5E2-1%29%3D%28a%2B1%29%5E3%28a-1%29)
Ответ:![C C](https://tex.z-dn.net/?f=C)
6.
![16x^2-25y^2-(5y+3)(3-5y)+9=16x^2-25y^2-9+25y^2+9=16x^2 16x^2-25y^2-(5y+3)(3-5y)+9=16x^2-25y^2-9+25y^2+9=16x^2](https://tex.z-dn.net/?f=16x%5E2-25y%5E2-%285y%2B3%29%283-5y%29%2B9%3D16x%5E2-25y%5E2-9%2B25y%5E2%2B9%3D16x%5E2)
Ответ:![B B](https://tex.z-dn.net/?f=B)
7.
![(2y-1)^2-(4y+1)^2=4y^2-4y+1-(16y^2+8x+1)=4y^2-4y+1\\-16y^2-8x-1=-12y^2-12y=-12(y+1) (2y-1)^2-(4y+1)^2=4y^2-4y+1-(16y^2+8x+1)=4y^2-4y+1\\-16y^2-8x-1=-12y^2-12y=-12(y+1)](https://tex.z-dn.net/?f=%282y-1%29%5E2-%284y%2B1%29%5E2%3D4y%5E2-4y%2B1-%2816y%5E2%2B8x%2B1%29%3D4y%5E2-4y%2B1%5C%5C-16y%5E2-8x-1%3D-12y%5E2-12y%3D-12%28y%2B1%29)
Ответ:![A A](https://tex.z-dn.net/?f=A)
8.
![x^3-(x-2)(x^2+1)=x^3-(x^3+x-2x^2-2)=x^3-x^3-x+2x^2+2\\
=2x^2+2-x x^3-(x-2)(x^2+1)=x^3-(x^3+x-2x^2-2)=x^3-x^3-x+2x^2+2\\
=2x^2+2-x](https://tex.z-dn.net/?f=x%5E3-%28x-2%29%28x%5E2%2B1%29%3Dx%5E3-%28x%5E3%2Bx-2x%5E2-2%29%3Dx%5E3-x%5E3-x%2B2x%5E2%2B2%5C%5C%0A%3D2x%5E2%2B2-x)
Если
, то
![8+2+2=12 8+2+2=12](https://tex.z-dn.net/?f=8%2B2%2B2%3D12)
Ответ:![A A](https://tex.z-dn.net/?f=A)
9.
![(7-x)^2-(6+x)(x-6)=71x\\49-14x+x^2+36-2x^2-71x=0\\
85-85x=0\\
85x=85
x=1 (7-x)^2-(6+x)(x-6)=71x\\49-14x+x^2+36-2x^2-71x=0\\
85-85x=0\\
85x=85
x=1](https://tex.z-dn.net/?f=%287-x%29%5E2-%286%2Bx%29%28x-6%29%3D71x%5C%5C49-14x%2Bx%5E2%2B36-2x%5E2-71x%3D0%5C%5C%0A85-85x%3D0%5C%5C%0A85x%3D85%0Ax%3D1)
Ответ:![C C](https://tex.z-dn.net/?f=C)
10.
![(x-2)(x^2+2x+4)-x^3-1 \leq 5x+6\\
x^3-8-x^3-1 \leq 5x+6\\
-5x \leq 15\\
x \geq -3 (x-2)(x^2+2x+4)-x^3-1 \leq 5x+6\\
x^3-8-x^3-1 \leq 5x+6\\
-5x \leq 15\\
x \geq -3](https://tex.z-dn.net/?f=%28x-2%29%28x%5E2%2B2x%2B4%29-x%5E3-1+%5Cleq+5x%2B6%5C%5C%0Ax%5E3-8-x%5E3-1+%5Cleq+5x%2B6%5C%5C%0A-5x+%5Cleq+15%5C%5C%0Ax+%5Cgeq+-3)
Ответ:
Ответ:
2.
Ответ:
3.
Ответ:
4.
Если
Ответ:
5.
Ответ:
6.
Ответ:
7.
Ответ:
8.
Если
Ответ:
9.
Ответ:
10.
Ответ:
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