Предмет: Алгебра,
автор: tkalexanlrpvma03
помогите решить срочно!
Приложения:
![](https://files.topotvet.com/i/a28/a28e235a9831794510e1a7b5d94769e6.jpg)
Ответы
Автор ответа:
0
1)
A)![(x+3)(x-3)=x^2-9 (x+3)(x-3)=x^2-9](https://tex.z-dn.net/?f=%28x%2B3%29%28x-3%29%3Dx%5E2-9)
Б)![(3x+2y)^2=9x^2+12xy+4y^2 (3x+2y)^2=9x^2+12xy+4y^2](https://tex.z-dn.net/?f=%283x%2B2y%29%5E2%3D9x%5E2%2B12xy%2B4y%5E2)
В)![(a-2)^2=a^2-4a+4 (a-2)^2=a^2-4a+4](https://tex.z-dn.net/?f=%28a-2%29%5E2%3Da%5E2-4a%2B4)
Г)![(frac{1}{2x^2}+4y)(frac{1}{2x^2}-4y)=frac{1}{4x^4}-16y (frac{1}{2x^2}+4y)(frac{1}{2x^2}-4y)=frac{1}{4x^4}-16y](https://tex.z-dn.net/?f=%28frac%7B1%7D%7B2x%5E2%7D%2B4y%29%28frac%7B1%7D%7B2x%5E2%7D-4y%29%3Dfrac%7B1%7D%7B4x%5E4%7D-16y)
2)
А)![a(a+5)-(a-b)(a+b)=a^2+5a-a^2-b^2=5a-b^2 a(a+5)-(a-b)(a+b)=a^2+5a-a^2-b^2=5a-b^2](https://tex.z-dn.net/?f=a%28a%2B5%29-%28a-b%29%28a%2Bb%29%3Da%5E2%2B5a-a%5E2-b%5E2%3D5a-b%5E2)
Б)![(x+2)(x-6)-(5-x)^2=x^2-4x-12-(25-10x+x^2) (x+2)(x-6)-(5-x)^2=x^2-4x-12-(25-10x+x^2)](https://tex.z-dn.net/?f=%28x%2B2%29%28x-6%29-%285-x%29%5E2%3Dx%5E2-4x-12-%2825-10x%2Bx%5E2%29)
![=x^2-4x-12-25+10x-x^2=6x-37 =x^2-4x-12-25+10x-x^2=6x-37](https://tex.z-dn.net/?f=%3Dx%5E2-4x-12-25%2B10x-x%5E2%3D6x-37)
В)![4ab-2b^2+2(a-b)^2=4ab-2b^2+2(a^2-2ab+b^2)= 4ab-2b^2+2(a-b)^2=4ab-2b^2+2(a^2-2ab+b^2)=](https://tex.z-dn.net/?f=4ab-2b%5E2%2B2%28a-b%29%5E2%3D4ab-2b%5E2%2B2%28a%5E2-2ab%2Bb%5E2%29%3D)
![=4ab-2b^2+2a^2-4ab+2b^2=2a^2 =4ab-2b^2+2a^2-4ab+2b^2=2a^2](https://tex.z-dn.net/?f=%3D4ab-2b%5E2%2B2a%5E2-4ab%2B2b%5E2%3D2a%5E2)
3)
А)![25-b^2=(5-b)(5+b) 25-b^2=(5-b)(5+b)](https://tex.z-dn.net/?f=25-b%5E2%3D%285-b%29%285%2Bb%29)
Б)![x^3-27=(x-3)(x^2+3x+9) x^3-27=(x-3)(x^2+3x+9)](https://tex.z-dn.net/?f=x%5E3-27%3D%28x-3%29%28x%5E2%2B3x%2B9%29)
В)![a^4-256=(a^2-16)(a^2+16)=(a+4)(a-4)(a^2+16) a^4-256=(a^2-16)(a^2+16)=(a+4)(a-4)(a^2+16)](https://tex.z-dn.net/?f=a%5E4-256%3D%28a%5E2-16%29%28a%5E2%2B16%29%3D%28a%2B4%29%28a-4%29%28a%5E2%2B16%29)
Г)![m^3-n^3=(m-n)(m^2+mn+n^2) m^3-n^3=(m-n)(m^2+mn+n^2)](https://tex.z-dn.net/?f=m%5E3-n%5E3%3D%28m-n%29%28m%5E2%2Bmn%2Bn%5E2%29)
4)
А)![(x+y-2c)(x+y+2c)=((x+y)^2-4c)=x^2+2xy+y^2-4c (x+y-2c)(x+y+2c)=((x+y)^2-4c)=x^2+2xy+y^2-4c](https://tex.z-dn.net/?f=%28x%2By-2c%29%28x%2By%2B2c%29%3D%28%28x%2By%29%5E2-4c%29%3Dx%5E2%2B2xy%2By%5E2-4c)
Б)![(a+1)(a+2)(a-1)(a+2)=(a^2-1)(a+2)^2= (a+1)(a+2)(a-1)(a+2)=(a^2-1)(a+2)^2=](https://tex.z-dn.net/?f=%28a%2B1%29%28a%2B2%29%28a-1%29%28a%2B2%29%3D%28a%5E2-1%29%28a%2B2%29%5E2%3D)
![=(a^2-1)(a^2+4a+4)=a^4+4a^3+4a^2-a^2-4a-4= =(a^2-1)(a^2+4a+4)=a^4+4a^3+4a^2-a^2-4a-4=](https://tex.z-dn.net/?f=%3D%28a%5E2-1%29%28a%5E2%2B4a%2B4%29%3Da%5E4%2B4a%5E3%2B4a%5E2-a%5E2-4a-4%3D)
![=a^4+4a^3+3a^2-a^2-4a-4 =a^4+4a^3+3a^2-a^2-4a-4](https://tex.z-dn.net/?f=%3Da%5E4%2B4a%5E3%2B3a%5E2-a%5E2-4a-4)
5)
![(a+b)+x(a+b)^2+y(a+b)^3=(a+b)(1+x(a+b)+y(a+b)^2)= (a+b)+x(a+b)^2+y(a+b)^3=(a+b)(1+x(a+b)+y(a+b)^2)=](https://tex.z-dn.net/?f=%28a%2Bb%29%2Bx%28a%2Bb%29%5E2%2By%28a%2Bb%29%5E3%3D%28a%2Bb%29%281%2Bx%28a%2Bb%29%2By%28a%2Bb%29%5E2%29%3D)
![=(a+b)(1+xa+xb+y(a^2+2ab+b^2)= =(a+b)(1+xa+xb+y(a^2+2ab+b^2)=](https://tex.z-dn.net/?f=%3D%28a%2Bb%29%281%2Bxa%2Bxb%2By%28a%5E2%2B2ab%2Bb%5E2%29%3D)
![=(a+b)(1+xa+xb+ya^2+2yab+yb^2) =(a+b)(1+xa+xb+ya^2+2yab+yb^2)](https://tex.z-dn.net/?f=%3D%28a%2Bb%29%281%2Bxa%2Bxb%2Bya%5E2%2B2yab%2Byb%5E2%29)
P.S чтобы быстрее решали давайте больше баллов
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P.S чтобы быстрее решали давайте больше баллов
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