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mmhitaryan5
@mmhitaryan5
July 2022
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СРОЧНО..30 Б.... АЛГЕБРА 7 КЛАСС
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Answers & Comments
1)![(2a-3)^2-81=(2a-3)^2-9^2=(2a-3-3)*(2a-3+3)=(2a-6)*2a=4a*(a-3) (2a-3)^2-81=(2a-3)^2-9^2=(2a-3-3)*(2a-3+3)=(2a-6)*2a=4a*(a-3)](https://tex.z-dn.net/?f=%282a-3%29%5E2-81%3D%282a-3%29%5E2-9%5E2%3D%282a-3-3%29%2A%282a-3%2B3%29%3D%282a-6%29%2A2a%3D4a%2A%28a-3%29)
2)![(3b-4)^2-(b+7)^2=(3b-4-b-7)*(3b-4+b+7)=(2b-11)*(4b+3) (3b-4)^2-(b+7)^2=(3b-4-b-7)*(3b-4+b+7)=(2b-11)*(4b+3)](https://tex.z-dn.net/?f=%283b-4%29%5E2-%28b%2B7%29%5E2%3D%283b-4-b-7%29%2A%283b-4%2Bb%2B7%29%3D%282b-11%29%2A%284b%2B3%29)
3)![m^6-(m^2-3)^2=(m^3)^2-(m^2-3)^2=(m^3-m^2+3)*(m^3+m^2-3) m^6-(m^2-3)^2=(m^3)^2-(m^2-3)^2=(m^3-m^2+3)*(m^3+m^2-3)](https://tex.z-dn.net/?f=m%5E6-%28m%5E2-3%29%5E2%3D%28m%5E3%29%5E2-%28m%5E2-3%29%5E2%3D%28m%5E3-m%5E2%2B3%29%2A%28m%5E3%2Bm%5E2-3%29)
4)![(a-b-c)^2-(a+b-c)^2=(a-b-c-a-b+c)*(a-b-c+a+b-c)=(-2b)*(2a-2c)=-4b(a-c) (a-b-c)^2-(a+b-c)^2=(a-b-c-a-b+c)*(a-b-c+a+b-c)=(-2b)*(2a-2c)=-4b(a-c)](https://tex.z-dn.net/?f=%28a-b-c%29%5E2-%28a%2Bb-c%29%5E2%3D%28a-b-c-a-b%2Bc%29%2A%28a-b-c%2Ba%2Bb-c%29%3D%28-2b%29%2A%282a-2c%29%3D-4b%28a-c%29)