Let us simplify using formula:-
`(a-2b)(a^2 + 2ab + 4b^2) (a^3 + 8b^3)`

Let us simplify using formula:- (a+b)(a-b) (a^2 + ab + b^2) (a^2 - ab + b^2)

Let us simplify using formula:- (4a^2 -9) (4a^2 - 6a + 9) (4a^2 + 6a + 9)

Let's simplify using formula. (2q - 3z)^2 - 2(2q - 3z) (q - 3z) + (q - 3z)^2

Let's express the following in the product from using formula. (a^2 + b^2) (a^2 - b^2) (a^4 + b^4) (a^8 + b^8)

Let's simplify: frac(a)(a^2 + ab) - frac(b)((a+b)^2)

Let's resolve into factor:- 3(a + b)^2 - 2a - 2b - 8

Using formula let's show that. (a+2b)^2 + (a-2b)^2 = 2(a^2 + 4b^2)

Let's simplify:- a^2(b^2 - c^2) + b^2 (c^2 - a^2) + c^2 (a^2 - b^2)

Using formula let's show that. (3a-4b)^2 + 24ab = 9a^2 +16b^2

Simplify in following. 6a - 2b - ab - (3a+ b - ab) + 2ab - b + a