a, \(4x^2-1\)
=\(\left(2x^2\right)-1\)
=\(\left(2x-1\right).\left(2x+1\right)\)
b,\(25a^2-0,01\)
=\(\left(5a\right)^2-\left(0,1\right)^2\)
=\(\left(5a-0,1\right)\left(5a+0,1\right)\)
c,2a(x+y)-3b(x+y)
=(x+y)(2a-3b)
d,\(4x^2-12xy+9y^2\)
=\(\left(2x-3y\right)^2\)
g,\(\left(x+y\right)^2-2\left(x+y\right)+1\)
=\(\left(x+y-1\right)^2\)
h,\(x^4-9x^3+x^2-9x\)
=\(x^3\left(x-9\right)+x\left(x-9\right)\)
=\(\left(x^3+x\right).\left(x-9\right)\)
=\(x.\left(x^2+1\right).\left(x-9\right)\)
i,\(x^2-x-y^2-y\)
=\(x^2-y^2-x-y\)
=\(\left(x-y\right).\left(x+y\right)-\left(x+y\right)\)
=\(\left(x+y\right).\left(x-y-1\right)\)