Question

因式分解: (1) (4m^2+1)^2-16m^2 (2) a^3+64b^3 (3) x^2-1+y^2-2xy

Answer 1

(1) (4m^2+1)^2-16m^2

=(4m^2+1+4m)(4m^2+1-4m)

=(2m+1)^2(2m-1)^2

(2) a^3+64b^3

=a^3+(4b)^3

=(a+4b)(a^2-4ab+16b^2)

(3) x^2-1+y^2-2xy

=(x-y)^2-1

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