9a^2b^2—81a^2=1/2x^4y^2—1/8x^2y^4=9/25(x—y)^2-16x^2y^2=x^2—(
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9a^2b^2—81a^2

=9a^2(b^2-9)

=9a^2(b+3)(b-3)

1/2x^4y^2—1/8x^2y^4

=1/8x^2y^2(4-y^2)

=(1/8)x^2y^2(2+y)(2-y)

9/25(x—y)^2-16x^2y^2

=(3x/5-3y/5+4xy)(3x/5-3y/5-4xy)

x^2—(x+y-z)^2

=(x+x+y-z)(x-x-x+z)

=(2x+y-z)(z-x)

x^3—x^5

=x^3(1-x^2)

=x^3(1+x)(1-x)

x^4n—y^2n

=(x^2n+y^n)(x^2n-y^n)