Question

Answer 1

a: =(x-5)^2(x+5)^2-(x-5)^2

=(x-5)^2[(x+5)^2-1]

=(x-5)^2*(x+5-1)(x+5+1)

=(x+4)(x+6)(x-5)^2

b: =(2x-5)^2*(2x+5)^2-9(2x-5)^2

=(2x-5)^2[(2x+5)^2-9]

=(2x-5)^2(2x+5-3)(2x+5+3)

=4(x+4)(x+1)(2x-5)^2

c: =(2x-3)^2[4-9(2x+3)^2]

=(2x-3)^2*[2^2-(6x+9)^2]

=(2x-3)(2-6x-9)(2+6x+9)*(2x-3)

=(-6x-7)(11+6x)(2x-3)^2

d: =a^2(a^4-a^2+2a+2)

=a^2[a^2(a-1)(a+1)+2(a+1)]

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

e: =(3x^2+3x+2-3x^2-3x+2)(3x^2+3x+2+3x^2+3x-2)

=(6x^2+6x)*4

=24x(x+1)