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dashas20051
@dashas20051
July 2022
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TheVityA1
A^2-b^2=(a-b)(a+b)
1. а) (c-2)^2=
c^2-4c+4
б) (2a+3b)^2=
4a^2+12ab+9b^2
в) (x-5)(x+5)=
x^2-25
г) (4x-y)(y+4x)=
16x^2-y^2
2. a) 12x^3y-3xy^3=
3xy*(2x-y)(2x+y)
б) b^4-8ab^2+16a^2=
(b^2-4a)^2
в)
5a-5b-b^2-ab=
(5-b)(a-b)
г) (a+3b)^2-(3a-b)^2=
-4(a-2b)(2a+b)
4. a) x^3-8=
(x-2)(x^2+2x+4)
б) x^2-9-2ax-6a=
(x-3-2a)(x+3)
2 votes
Thanks 1
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Answers & Comments
1. а) (c-2)^2=c^2-4c+4
б) (2a+3b)^2=4a^2+12ab+9b^2
в) (x-5)(x+5)=x^2-25
г) (4x-y)(y+4x)=16x^2-y^2
2. a) 12x^3y-3xy^3=3xy*(2x-y)(2x+y)
б) b^4-8ab^2+16a^2=(b^2-4a)^2
в) 5a-5b-b^2-ab=(5-b)(a-b)
г) (a+3b)^2-(3a-b)^2= -4(a-2b)(2a+b)
4. a) x^3-8= (x-2)(x^2+2x+4)
б) x^2-9-2ax-6a=(x-3-2a)(x+3)