преобразуйте в многочлен:
а) 9x^2-(y-3x)^2
б) (5a+7)^2-70a
в) c(1+2c)^2
г) -6(2x-y)^2
д) (p+7)*p-(1-p)
Ответы
Ответ дал:
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а) ![9x^{2} -(y-3x) ^{2} = 9x^{2} -( y^{2} -6xy+9 x^{2} )=9x^{2} -y^{2} +6xy-9 x^{2} = 9x^{2} -(y-3x) ^{2} = 9x^{2} -( y^{2} -6xy+9 x^{2} )=9x^{2} -y^{2} +6xy-9 x^{2} =](https://tex.z-dn.net/?f=+9x%5E%7B2%7D+-%28y-3x%29+%5E%7B2%7D+%3D+9x%5E%7B2%7D+-%28+y%5E%7B2%7D+-6xy%2B9+x%5E%7B2%7D+%29%3D9x%5E%7B2%7D+-y%5E%7B2%7D+%2B6xy-9+x%5E%7B2%7D+%3D)
![=6xy -y^{2} ; =6xy -y^{2} ;](https://tex.z-dn.net/?f=%3D6xy+-y%5E%7B2%7D+%3B)
б)![(5a+7)^{2} -70a=25 a^{2} +70a+49-70a=25 a^{2} +49; (5a+7)^{2} -70a=25 a^{2} +70a+49-70a=25 a^{2} +49;](https://tex.z-dn.net/?f=+%285a%2B7%29%5E%7B2%7D+-70a%3D25+a%5E%7B2%7D+%2B70a%2B49-70a%3D25+a%5E%7B2%7D+%2B49%3B)
в)![c(1+2c)^{2} =c(1+4c+4 c^{2} )=c+4 c^{2} +4 c^{3} ; c(1+2c)^{2} =c(1+4c+4 c^{2} )=c+4 c^{2} +4 c^{3} ;](https://tex.z-dn.net/?f=+c%281%2B2c%29%5E%7B2%7D+%3Dc%281%2B4c%2B4+c%5E%7B2%7D+%29%3Dc%2B4+c%5E%7B2%7D+%2B4+c%5E%7B3%7D+%3B)
г)![-6(2x-y)^{2} =-6(4 x^{2} -4xy+ y^{2} )=-24 x^{2} +24xy-6 y^{2} ; -6(2x-y)^{2} =-6(4 x^{2} -4xy+ y^{2} )=-24 x^{2} +24xy-6 y^{2} ;](https://tex.z-dn.net/?f=+-6%282x-y%29%5E%7B2%7D+%3D-6%284+x%5E%7B2%7D+-4xy%2B+y%5E%7B2%7D+%29%3D-24+x%5E%7B2%7D+%2B24xy-6+y%5E%7B2%7D+%3B)
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