Преобразуйте в произведение : 1) 49p^2 - q^2 разложите на множители : 2) 1/8a^3 + b^3 3)4n^2 - 9 4)27-x^3 5)x+5x^2 - y - 5y^2

1) 49p^2 - q^2 = (7p -q)(7p+q)

2) 1/8a^3 + b^3 = (1/2a+b)(1/4a^2 - 1/2ab + b^2)

3)4n^2 - 9  = (2n-3)(2n+3)

4)27-x^3 = ((3-x)(9+3x+x^2)

5)X+5x^2 - y - 5y^2  = (x-y) + 5(x^2 - y^2) = (x-y) + 5(x - y)(x+y) =

   = (x-y)(1-5(x+y)) = (x-y)(1 - 5x - 5y)

1) (7p-q)(7p+q)
2) 1/8=1/2^3
(1/2a+b)(1/4a^2-1/2ab+b^2)
3) (2n-3)(2n+3)
4) 3^3-x^3=(3-x)(9+3x+x^2)
5) (x-y)+5(x^2-y^2)=
(x-y)+5(x-y)(x+y)=(x-y)(1+5x+5y)