Question

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сократите дробь:

2)15b-20c

10b

4)a-3b

a^2+3ab

6) 3x^2+15xy

x+5y

8)5x-15y

x^2-9y^2

10)6cb-18c^2

(b-c)^3

12)a^3-b^3

a-b

Answer 1

$frac{5(3b - 4c)}{10b} = frac{3b - 4c}{2b}; frac{a - 3b}{ a^{2} + 3ab } = frac{a-3b}{a(a+3b)}= frac{1}{a}; frac{3 x^{2} + 15xy}{x+5y} = frac{3x(x+5y)}{x+5y} = 3x;$$frac{5x-15y}{ x^{2} -9 y^{2} } = frac{5(x-3y)}{(x+3y)(x-3y)} = frac{5}{x+3y}$$;frac{6cb-18 c^{2} }{(bc)^{3} } = frac{6c(b-3c)}{ b^{3} c^{3} } = frac{6(b-3c)}{ b^{3} c^{2} } ;$$frac{a^{3}- b^{3} }{a - b} = frac{ (a-b)^{3} }{a-b} = (a-b)^{2} = a^{2} - b^{2} .$