What are the different ways to verify the square difference formula? Graphics are expressed in words Express clearly and in detail

What are the different ways to verify the square difference formula? Graphics are expressed in words Express clearly and in detail

Two sheets of paper
First: length a, width A-B (larger)
Second: length B, width A-B (smaller)
The area of this rectangle is (a + b) (a-b). The original area of the first paper is a (a-b), and the area of the second paper is B (a-b). The sum of the areas of the two papers is the square of a minus the square of B. so (a + B) (a-b) = A2-B2

Square of factoring factor-2 (m-n) + 32

-Square of 2 (m-n) + 32
=-2 [square of (m-n) - 16]
=-2（m-n+4）（m-n-4）

How to factorize the square of (M + n) - the square of n

Square of (M + n) - square of n
=(m+n+n)(m+n-n)
=m(2m+n)

Decomposition factor: M2 (A-2) + m (2-A)=______ ．

m2（a-2）+m（2-a），=m2（a-2）-m（a-2），=m（a-2）（m-1）．

The second power of factorization factor (m-2n) - the square of 2 (2n-m) (M + n) + (M + n)

（m-2n）^2-2（2n-m）（m+n）+(m+n)^2
={(m-2n)-(m+n)}^2
=(-3n)^2
=9n^2

If 5m = 8N (n ≠ 0), then M: n = () is the best answer of the first answer,

8:5

If 0.5m = 2n, then n=_______ ;

Divide both sides of the equation by 2, then n = 0.25m

Factorization of m-12mn ^ 4
a^2-4ab+4b^2-1
m-12mn^4

a^2-4ab+4b^2-1
=(a-2b)^2-1
=(a-2b+1)(a-2b+1)
m-12mn^4
=m(1-12n^4)
=m(1+2√3n^2)(1-2√3n^2)

Factorization (3 ^ 4) ^ m △ 27 ^ m

Original formula = 3 * (3 ^ 3M) / (3 ^ 3M)
=3*1
=3

Square factorization of m-6mn + 8N
Square factorization of m-6mn + 8N
Calculation by factorization
(1) Given x + y = 1, xy = negative half, find the square value of the algebraic formula x (x + y) (X-Y) - x (x + y) (2) if A-B = - 3, ab = 4, find the third power of half a - a square, b square + the third power of half ab
Using the formula to calculate the square of 2013 times 2015-4 times 1007
Using formula to calculate the square of (half of 20) - 400

（m -2n）（m -4n）