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paha570
@paha570
August 2022
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3
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Разложите на множители 1)17x-34 2)9a^2 x-3x 3)7x^2y^3-21xy^4 4)a^2-6a+9-y^2 5)y^2+2y+1-a^2 6)-7x+2-4x^2
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Answers & Comments
belle2
1)17x-34 =17(x-2)
2)9a
²
x-3x =3x(3a
²
-1)
3)7x
²
y
³
-21xy
⁴
=7xy
³
(x-3y)
4)a
²
-6a+9-y
²
= a
²
-2*3a+3
²
-y
²
=(a-3)
²
-y
²
=(a-3-y)(a-3+y)
5)y
²
+2y+1-a
²
=(y+1)
²
-a
²
=(y+1-a)(y+1+a)
6)-7x+2-4x
²
=-(7x-2+4x
²
)= -(4x
²
-x+x+7x-2)=-(4x
²
+8x-x -2)= -(4x(x+2)-(x+2))=
-(x+2)(4x-1)
2 votes
Thanks 1
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Answers & Comments
2)9a²x-3x =3x(3a²-1)
3)7x²y³-21xy⁴ =7xy³(x-3y)
4)a²-6a+9-y² = a²-2*3a+3²-y²=(a-3) ²-y²=(a-3-y)(a-3+y)
5)y²+2y+1-a² =(y+1)²-a²=(y+1-a)(y+1+a)
6)-7x+2-4x²=-(7x-2+4x²)= -(4x²-x+x+7x-2)=-(4x²+8x-x -2)= -(4x(x+2)-(x+2))=
-(x+2)(4x-1)