\(4,=\left(a-3-2\right)\left(a-3+2\right)=\left(a-5\right)\left(a-1\right)\\ 5,=\left(a-2b+b\right)\left(a-2b-b\right)=\left(a-b\right)\left(a-3b\right)\\ 6,=\left(4a-3b\right)\left(16a^2+12ab+9b^2\right)\)
1. a2 - 4b2
= a2 - (2b)2
= (a - 2b)(a + 2b)
2. 16a2 - b4
= (4a)2 - (b2)2
= (4a - b2)(4a + b2)
3. 4a4 - 81b4
= (2a2)2 - (9b2)2
= (2a2 - 9b2)(2a2 + 9b2)
4. (a - 3)2 - 4
= (a - 3)2 - 22
= (a - 3 - 2)(a - 3 + 2)
= (a - 5)(a - 1)
5. (a - 2b)2 - b2
= (a - 2b - b)(a - 2b + b)
= (a - 3b)(a - b)
6. 64a3 - 27b3
= (4a)3 - (3b)3
= (4a - 3b)(16a2 + 12ab + 9b2)
4: \(\left(a-3\right)^2-4=\left(a-5\right)\left(a-1\right)\)
5: \(\left(a-2b\right)^2-b^2=\left(a-3b\right)\left(a-b\right)\)
6: \(64a^3-27b^3=\left(4a-3b\right)\left(16a^2+12ab+9b^2\right)\)
