Factorization a square - b square + 2Ac + C square Seek advice from experts

Factorization a square - b square + 2Ac + C square Seek advice from experts

a²-b²+2ac+c²
=a²+2ac+c²-b²
=(a+c)²-b²
=(a+c+b)(a+c-b)
If you don't understand, please hi me, I wish you a happy study!

Factorization (1) the square of a + AC + AB + BC (2) the square of x-4xy + the square of 4y-1

a²+ac+ab+bc
=(a²+ab)+(ac+bc)
=a(a+b)+c(a+b)
=(a+c)(a+b)
x²-4xy+4y²-1
=(x-2y)²-1²
=(x-2y+1)(x-2y-1)

Decomposition factor: ab (a + b) 2 - (a + b) 2 + 1=______ ．

The original formula = (a + b) 2 (AB-1) + 1, = (A2 + B2 + 2Ab) (AB-1) + 1, = A2 (AB-1) + B2 (AB-1) + 2Ab (AB-1) + 1, = a2b2 + (A2 + B2) (AB-1) + (a2b2-2ab + 1), = a2b2 + (A2 + B2) (AB-1) + (AB-1) 2, = (A2 + AB-1) (B2 + AB-1). So the answer is: (A2 + AB-1) (B2 + AB-1)

Factorization: ab-a-b + 1=______ ．

Solution (1): ab-a-b + 1, = (ab-b) + (- A + 1), = B (A-1) - (A-1), = (A-1) (B-1). Solution (2): ab-a-b + 1, = (AB-A) + (- B + 1), = a (B-1) - (B-1), = ((A-1) (B-1)

On a 1:5000 scale drawing, the length and width of the rectangular playground are 6cm and 3.8cm, and the actual length, length and width of the playground are calculated
The length and width are in meters

Length: 6 * 5000 = 30000cm = 300m
Width: 3.8 * 5000 = 19000cm = 190m

Stories of famous mathematicians (20 words)

Children, do you know the story of Gauss as a child?
When Gauss was in primary school, once after the teacher taught addition, because the teacher wanted to have a rest, he put forward a question for the students to calculate
1+2+3+ .+97+98+99+100 =
The teacher is thinking, now the children must count to the end of the class! Just about to excuse out, but Gauss stopped! Originally, Gauss has figured out, children, do you know how he counted?
Gauss tells you how he works out: add 1 to 100 and 100 to 1 in two rows, that is to say:
1+2+3+4+ .+96+97+98+99+100
100+99+98+97+96+ .+4+3+2+1
=101+101+101+ .+101+101+101+101
There are a total of 100 101, but the formula is repeated twice, so divide 10100 by 2 to get the answer equal to
Since then, the learning process of Gauss primary school has already surpassed other students, which has laid the foundation for his future mathematics and made him a mathematical genius!

The addition and subtraction of (a-b) a + (B-A) a

=a/(a-b)²+a/(a-b)²
=2a/(a-b)²

A large equilateral triangle composed of four equilateral triangles is divided into nine equal sized triangles
Pyramid shape

Make a bisector of three corners
The intersection is the vertex of three triangles

What is the property of the corresponding angle in translation?

The corresponding angles are equal
Translation belongs to conformal transformation, which is conformal

Square of X - 9 / square of X + 6x + 9

(x^2-9)/(x^2+6x+9)
=(x-3)(x+3)/(x+3)^2
=(x-3)/(x+3)