Question

разложите на множители
a^4-16b^4
9y^2-6y+1-x^2

Answer 1

1)a^4-16b^4
(a^2)^2-16b^4
(a^2)^2-(4b^2)^2
(a^2+4b^2)(a^2-(2b)^2)
(a^2+4b^2)(a+2b)(a-2b)
2)9y-6y+1-x^2
(3y)^2-6y+1-x^2
2ab=2*(3y)*-1
2ab=-6y
(3y-1)^2-x^2
(3y-1+x)(3y-1-x)