B1)9x⁴+16y⁶-24x²y³=(3x²-4y³)²

B2)a)81-x⁴=(9-x²)(9+x²)=(3-x)(3+x)(9+x²)

b)(2x+y)²-1=(2x+y-1)(2x+y+1)

c)(+y+z)²-(x-y-z)²=(x+y+z-x+y+z)(x+y+z+x-y-z)=(2y+2z)2x=4x(y+z)

B3)

(12³+1)(12³-1)-3⁶.4⁶

=12⁶-1-(3.4)⁶

=12⁶-1-12⁶=-1

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

b)  \(x^2+2x+y^2-4y+5=\left(x+1\right)^2+\left(y-2\right)^2\)

c)  bạn ktra lại đề

bài 2 

c) 37.43 = (40-3).(40+3)

              = 40^2-3^2 

              = 1600-9

              = 1591

c) 37 . 43

= (40 - 3) . ( 40+3)

= 40^2 - 3^2 

= 1600 - 0

= 1591

BÀI 3: viết biểu thức sau dưới dạng tổng, hiệu 2 bình phương.

 4 x^2 - 12x - y^2 + 2y + 1

= (2x)^2 -12x +9-y^2 +2y +1 

= (2x-3)^2 - (y+1)^2

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

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

\(=\left(2x-y+8\right)\left(2x+y+2\right)\)

a) \(x^2-\left(y-2\right)^2\)

\(=\left(x-y+2\right)\left(x+y-2\right)\)

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

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

\(=\left(2x-y+8\right)\left(2x+y+2\right)\)

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

\(=\left(x-y+2\right)\left(x+y-2\right)\)

\(b,\left(2x+5\right)^2-\left(y-3\right)^2\)

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

\(=\left(2x-y+8\right)\left(2x+y+2\right)\)

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

b, \(\left(x-y+6\right)\left(x+y-6\right)=x^2-\left(y-6\right)^2\)

c, \(\left(y+2z-3\right)\left(y-2z-3\right)=\left(y-3\right)^2-4z^2\)

d, đề sai r bạn ơi 

k mk nha

\(x^2-x+\frac{1}{4}=\left(x-\frac{1}{2}\right)\)

làm từng bước ạ 

Làm sao mà viết dc sai đề à

a) \(\left(-2x+3y+3\right)\left(-2x-3y+3\right)\)

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

b) \(\left(-2x-y+z\right)\left(-2x+y-z\right)\)

\(=\left(-2x\right)^2-\left(y-z\right)^2\)

a. (-2x+3)² – (3y)²

b. (-2x)² – (y–x)²

a) x²+2x+1= (x+1)²

b) 9x²+6xy+y²= (3x+y)²