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oladyshek1
@oladyshek1
July 2022
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orion8105
1)
а) x^2+8x+16
б)a^2-4ab+4b^2
в)9y^2-25
2)
a)c^2+3c-2c-6-(c^2-2c+1)=c^2+c-6-c^2+2c-1=3c-7
б)3(a^2+2ac+c^2)-6ac=3a^2+6ac+3c^2-6ac=3a^2+3c^2=3(a^2+c^2)
3)
a)(4a-3)(4a+3)
б)3x(x^2-25)=3x(x-5)(x+5)
в)2(x^2+2x+y^2)=2(x+y)^2
4)
a)36x^2-12x^3+x^4-x^2(x^2-1)+18x+12x^3=
=36x^2-12x^3+x^4-x^4+x^2+18x+12x^3=37x^2+18x
5)
a)(y+2-2y)(y+2-2y)=(2+y)(2-y)
б)(x-2y)(x^2+2xy+4y^2)
в)(4-1/9x^2)(4+1/9x^2)
г) 2(x+y)+(x^2-y^2)=2(x-y)+(x-y)(x+y)=(x-y)(2+x+y)
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Answers & Comments
а) x^2+8x+16
б)a^2-4ab+4b^2
в)9y^2-25
2)
a)c^2+3c-2c-6-(c^2-2c+1)=c^2+c-6-c^2+2c-1=3c-7
б)3(a^2+2ac+c^2)-6ac=3a^2+6ac+3c^2-6ac=3a^2+3c^2=3(a^2+c^2)
3)
a)(4a-3)(4a+3)
б)3x(x^2-25)=3x(x-5)(x+5)
в)2(x^2+2x+y^2)=2(x+y)^2
4)
a)36x^2-12x^3+x^4-x^2(x^2-1)+18x+12x^3=
=36x^2-12x^3+x^4-x^4+x^2+18x+12x^3=37x^2+18x
5)
a)(y+2-2y)(y+2-2y)=(2+y)(2-y)
б)(x-2y)(x^2+2xy+4y^2)
в)(4-1/9x^2)(4+1/9x^2)
г) 2(x+y)+(x^2-y^2)=2(x-y)+(x-y)(x+y)=(x-y)(2+x+y)