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selamat1
@selamat1
June 2022
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4
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разложите на множители: а) х(b-c) +7b-7c; б) 3x-3y+ax-ay; в) xy+5x-by-5b; г) x^4-3x^3+5x-15
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zinaidazina
а)
х(b-c) +7b-7c =
х(b-c) +(7b-7c) = х(b-c) +7(b-c) = (b-c)·(x+7)
;
б)
3x-3y+ax-ay = (
3x-3y)+(ax-ay) = 3(x-y) + a(x-y) = (x-y)·(3+a)
;
в)
xy+5x-by-5b = (
xy+5x)-(by+5b) = x(y+5)-b(y+5) = (y+5)·(x-b)
;
г)
x
⁴ - 3x³ + 5x - 15 = (x⁴ - 3x³) + (5x - 15) = x³(x - 3) + 5(x - 3) =
= (x³+5)(x-3).
5 votes
Thanks 8
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Answers & Comments
х(b-c) +7b-7c = х(b-c) +(7b-7c) = х(b-c) +7(b-c) = (b-c)·(x+7);
б)
3x-3y+ax-ay = (3x-3y)+(ax-ay) = 3(x-y) + a(x-y) = (x-y)·(3+a);
в)
xy+5x-by-5b = (xy+5x)-(by+5b) = x(y+5)-b(y+5) = (y+5)·(x-b);
г)
x⁴ - 3x³ + 5x - 15 = (x⁴ - 3x³) + (5x - 15) = x³(x - 3) + 5(x - 3) =
= (x³+5)(x-3).