\(A=15x^2y^3+7x^2-8x^3y^2-12x^2+11x^3y^2-12x^2y^3.\\ A=3x^2y^3-5x^2+3x^3y^2.\)

\(\rightarrow\) Bậc: 3.

\(B=3x^5y+\dfrac{1}{3}xy^4+\dfrac{3}{4}x^2y^3-\dfrac{1}{2}x^5y+2xy^4-x^2y^3.\\ B=\dfrac{5}{2}x^5y+\dfrac{7}{3}xy^4-\dfrac{1}{4}x^2y^3.\)

\(\rightarrow\) Bậc: 5.

Bài 1:

\(a,x^2-y^2-2x+2y=\left(x-y\right)\left(x+y\right)-2\left(x-y\right)=\left(x-y\right)\left(x+y-2\right)\)

\(b,2x+2y-x^2-xy=2\left(x+y\right)-x\left(x+y\right)=\left(2-x\right)\left(x+y\right)\)

\(c,3a^2-6ab+3b^2-12c^2=3\left(a-b\right)^2-12c^2=3\left[\left(a-b\right)^2-4c^2\right]=3\left(a-b-2c\right)\left(a-b+2c\right)\)

\(d,x^2-25+y^2+2xy=\left(x-y\right)^2-25=\left(x-y-5\right)\left(x-y+5\right)\)

Bài 1:

\(e,a^2+2ab+b^2-ac-bc=\left(a+b\right)^2-c\left(a+b\right)=\left(a+b-c\right)\left(a+b\right)\)

\(f,x^2-2x-4y^2-4y=\left(x-1\right)^2-\left(2y+1\right)^2=\left(x-2y-2\right)\left(x+2y\right)\)

\(g,x^2y-x^3-9y+9x=x^2\left(y-x\right)-9\left(y-x\right)=\left(x-3\right)\left(x+3\right)\left(y-x\right)\)

\(h,x^2\left(x-1\right)+16\left(1-x\right)=\left(x-1\right)\left(x-4\right)\left(x+4\right)\)

Bài 2: 

1) \(4x^2-25+\left(2x+7\right)\left(5-2x\right)=\left(2x-5\right)\left(2x+5\right)-\left(2x+7\right)\left(2x-5\right)=\left(2x-5\right)\left(-2\right)\)

2) \(3\left(x+4\right)-x^2-4x=3\left(x+4\right)-x\left(x+4\right)=\left(3-x\right)\left(x+4\right)\)

3) \(5x^2-5y^2-10x+10y=5\left(x-y\right)\left(x+y\right)-10\left(x-y\right)=5\left(x-y\right)\left(x+y-2\right)\)

4) \(x^2-xy+x-y=\left(x-y\right)\left(x+1\right)\)

Bài trên:

\(16x^3y+0,25yz^3=\dfrac{1}{4}y\left(64x^3+z^3\right)=\dfrac{1}{4}y\left[\left(4x\right)^3+z^3\right]\\ =\dfrac{1}{4}y\left[\left(4x+z\right)\left(16x^2-4xz+z^2\right)\right]\\ ----\\ x^4-4x^3+4x^2=x^2\left(x^2-4x+4\right)=x^2\left(x-2\right)^2\\ -----\\ a^3+a^2b-ab^2-b^3=\left(a^3-b^3\right)+\left(a^2b-ab^2\right)\\ =\left(a-b\right)\left(a^2+ab+b^2\right)+ab\left(a-b\right)=\left(a-b\right)\left(a^2+2ab+b^2\right)=\left(a-b\right)\left(a+b\right)^2\)

Bài trên

\(x^3+x^2-4x-4\\ =x^2\left(x+1\right)-4\left(x+1\right)\\ =\left(x^2-4\right)\left(x+1\right)\\ =\left(x-2\right)\left(x+2\right)\left(x+1\right)\\ ---\\ x^3-x^2-x+1\\ =x^2\left(x-1\right)-\left(x-1\right)\\ =\left(x^2-1\right)\left(x-1\right)\\ =\left(x-1\right)\left(x+1\right)\left(x-1\right)=\left(x-1\right)^2\left(x+1\right)\\ ---\\ x^4+x^3+x^2-1\\ =x^3\left(x+1\right)+\left(x-1\right)\left(x+1\right)\\ =\left(x^3+x-1\right)\left(x+1\right)\\ ---\\ x^2y^2+1-x^2-y^2\\ =x^2.\left(y^2-1\right)-\left(y^2-1\right)\\ =\left(y^2-1\right)\left(x^2-1\right)\\ =\left(y-1\right)\left(y+1\right)\left(x-1\right)\left(x+1\right)\)

Bài trên:

\(3a-3b+a^2-2ab+b^2\\ =3\left(a-b\right)+\left(a-b\right)^2\\ =\left(3+a-b\right)\left(a-b\right)\\ ----\\ a^2-b^2-4a+4b\\ =\left(a-b\right)\left(a+b\right)-4\left(a-b\right)\\ =\left(a-b\right)\left(a+b-4\right)\\ ----\\ a^3-b^3-3a+3b\\ =\left(a-b\right)\left(a^2+ab+b^2\right)-3\left(a-b\right)\\ =\left(a-b\right)\left(a^2+ab+b^2-3\right)\\ x^3+3x^2-3x-1\\ =x^3-x^2+4x^2-4x+x-1\\ =x^2\left(x-1\right)+4x\left(x-1\right)+\left(x-1\right)\\ =\left(x-1\right)\left(x^2+4x+1\right)\\ =\left(x-1\right)\left(x+2-\sqrt{3}\right)\left(x+2+\sqrt{3}\right)\\ \\---\\ x^3-3x^2-3x+1\\ =x^3+x^2-4x^2-4x+x+1\\ =x^2\left(x+1\right)-4x\left(x+1\right)+\left(x+1\right)\\ =\left(x^2-4x+1\right)\left(x+1\right)\\ =\left(x-2-\sqrt{3}\right)\left(x-2+\sqrt{3}\right)\left(x+1\right)\)

\(m_{Al}=0,5.27=13,5\left(g\right)\)

chụp lại

khó nhìn

Chắc cái này làm xong bị cận them 3 độ nữa

n = int(input("Nhap vao mot so n: "))

tong = 0

for i in range(1, n):

      if i % 3 == 0:

            tong += i

print("Tong cac so chia het cho 3 tu 1 den", n-1, "la:", tong)

1) \(=\left(9x^2-25y^2\right)-\left(6x-10y\right)=\left(3x-5y\right)\left(3x+5y\right)-2\left(3x-5y\right)=\left(3x-5y\right)\left(3x+5y-2\right)\)

2) \(=9x^2y^2-\left(x^2-2xy+y^2\right)=9x^2y^2-\left(x-y\right)^2=\left(3xy-x+y\right)\left(3xy+x-y\right)\)