How to solve this problem with the square difference formula 4X (the square of x-2x-1) + X (2x + 5) (5-2x), there is no rule

How to solve this problem with the square difference formula 4X (the square of x-2x-1) + X (2x + 5) (5-2x), there is no rule


4x(x²-2x-1)+x(2x+5)(5-2x)
=x(4x²-8x-4+25-4x²)
=x(21-8x)
=21x-8x²



Complete solution of mathematical square difference formula


Square difference formula
a^2-b^2=(a+b)(a-b)
That is: the square difference of two numbers is equal to the product of sum and difference of two numbers



How to solve (2 - 1) * (2 ^ 2 + 1) with square difference formula
(2 - 1) * (2 ^ 2 + 1)
Square difference formula A ^ 2-B ^ 2 = (a + b) (a-b)


(2-1)(2^2+1)
=(2^2-1)(2^2+1)/(2+1)
=(2^4-1)/3
=5



Calculation questions (2 + 1) x (22 + 1) x (24 + 1) x (28 + 1) x(264+1)+1,


(2+1)x(2^2+1)x(2^4+1)x(2^8+1)…………… x(2^64+1)+1
=(2-1)(2+1)x(2^2+1)x(2^4+1)x(2^8+1)…………… x(2^64+1)+1
=2^128