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

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

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)

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

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

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

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

Let's apply, (a+b)^2 + (a-b)^2 = 2(a^2 + b^2) or (a+b)^2-(a -b)^2 =4ab or ab = (frac(a+b)(2))^2 - (frac(a-b)(2))^2 to find the following. Let's express 8x^2 + 50y^2 as the sum of two squares.

Let's apply, (a+b)^2 + (a-b)^2 = 2(a^2 + b^2) or (a+b)^2-(a -b)^2 =4ab or ab = (frac(a+b)(2))^2 - (frac(a-b)(2))^2 to find the following. Let's express 36 as the difference of two squares.

Let's apply, (a+b)^2 +( a-b)^2 = 2(a^2 + b^2) or (a+b)^2-(a -b)^2 =4ab or ab = (frac(a+b)(2))^2 - (frac(a-b)(2))^2 to find the following. Let's express 44 as the difference of two squres.