A= x2-100y2
= x2-(10y)2
= (x-10y)(x+10y)
B= 64x3+1
= (4x)3+13
=(4x+1)(16x2-4x+1)
a, \(x^2-100y^2\)
= \(x^2-(10y)^2\)
= \(\left(x-10y\right)\left(x+10y\right)\)
b, \(64x^3+1\)
= \(\left(4x\right)^3+1^3\)
= \(\left(4x+1\right)\left(16x^2-4x+1\right)\)
c, \(x^2-16x+64-9y^2\)
= \(\left(x-8\right)^2-9y^2\)
= \(\left(x-8-9y\right)\left(x-8+9y\right)\)
C = x2-16x+64-9y2
= (x-8)2 -(3y)2
= (x-8-3y)(x-8+3y