Question

[Lê Văn Trung (тεam ASL)]

Các bạn làm hộ mk câu h baì 6 nha

Answer 1

[Xyz OLM]

a) 4x² + 4xy + y² 

= (2x + y)²

b) (2x + 1)² - (x - 1)² 

= (2x + 1  + x - 1)(2x + 1 - x + 1)

= 3x(x + 2) 

c) 9 - 6x + x² - y² 

 = (x² - 6x + 9) - y² 

= (x - 3)² - y² 

 = (x - y - 3)(x + y - 3) 

d) (-x - 2) + 3(x² - 4) 

 = -(x + 2) + 3(x - 2)(x + 2) 

 = (x + 2)(3x - 7) 

e) 5x²- 10xy² + 5y⁴

= 5(x² - 2xy² + y⁴) 

 = 5(x - y²)² 

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

g) 49(x - 4)² - 9(x + 2)² 

 = (7x - 28)² - (3x + 6)² 

 = (10x - 22)(4x - 34) 

h) (x² + y² - 5)² - 2(xy + 2)²

= \(\left(x^2+y^2-5\right)^2-\left(\sqrt{2}xy+2\sqrt{2}\right)^2\)

\(=\left(x^2+y^2+2\sqrt{xy}+2\sqrt{2}-5\right)\left(x^2+y^2-\sqrt{2}xy-2\sqrt{2}-5\right)\)