Разложите ** множители: 1) (3x+1)(3x-1) + (5x+1)^2 2) x^6 - y^6 3) (6a-2)^2 - (5a+2)^2

Question

Разложите на множители:
1) (3x+1)(3x-1) + (5x+1)^2
2) x^6 - y^6
3) (6a-2)^2 - (5a+2)^2

Answer 1

(3x+1)(3x-1) + (5x+1)^2=2x(17x+5)
x^6-y^6= (x-y)(x^2+xy+y^2)(x+y)(x^2-xy+Y^2)
(6a-2)^2 - (5a+2)^2=11(a-4)a