đăng ít 1 thôi bn

a) \(20m^3n^2-15m^4n^2+25m^5n^2\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ = 5m^3n^2\left(4-3m+5m^2\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

b) \(4x^2+6x-9\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =\left(2x-3\right)^2\)

c)\(2x^4-32\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x^4-2^4\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x-2\right)\left(x^3-2^3\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x-2\right)\left(x-2\right)\left(x^2+2x+4\right)\)

d)\(8x^3+60x^2y+150xy^2+125y^3\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =\left(2x+5y\right)^3\)

Câu c mik không chắc lắm

\(a.\) \(20m^3n^2-15m^4n^2+25m^5n^2\)

\(\Leftrightarrow5m^3n^2\left(4-3m+5m^2\right)\)

\(b.\) \(4x^2+6x+9\)

\(\Leftrightarrow\left(2x\right)^2+6x+3^2\)

\(\Leftrightarrow\left(2x+3\right)^2\)

a: \(20m^3n^2-15m^4n^2+25m^5n^2\)

\(=5m^3n^2\left(4-3m+5m^2\right)\)

c: \(2x^4-32\)

\(=2\left(x^4-16\right)\)

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

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

\(8x^3+60x^2y+150xy^2+125y^3\)

\(=\left(8x^3+125y^3\right)+\left(60x^2y+150xy^2\right)\)

\(=\left(2x+5y\right)\left(4x^2-10xy+25y^2\right)+30xy\left(2x+5y\right)\)

\(=\left(2x+5y\right)\left(4x^2-10xy+25y^2+30xy\right)\)

\(=\left(2x+5y\right)\left(4x^2+20xy+25y^2\right)\)

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

C2 : Áp dụng luôn HĐT ( x + y ) ³

\(8x^3+60x^2y+150xy^2+125y^3\)

\(=\left(2x\right)^3+3.\left(2x\right)^2.5y+3.2x.\left(5y\right)^2+\left(5y\right)^3\)

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

=.= hok tốt!!

a) = (3x)^2 + 2.3x.5+ 5^2 = (3x+5)^2

b) = (2/3x)^2-(4y)^2=(2/3x-4y)(2/3x+4y)

c) = -(9x^4-12/5x^2y^2+4/25y^4) = -[(3x^2)^2 - 2.3x^2.2/5y^2 + (2/5y^2)^2]= -(3x^2-2/5y^2)^2

d) = (x-5)^2 -  4^2= (x-5+4)(x-5-4) = (x-1)(x-9)

e) = (2x)^3 + 3.(2x)^2.(5y) + 3.(2x).(5y)^2 + (5y)^3 = (2x+5y)^3

f) = (8x)^2 - (8a+b)^2 = (8x-8a-b)(8x+8a+b)

g) = (7x-4-2x-1)(7x-4+2x+1) = (5x-5)(9x-3) = 5(x-1).3(x-3)=15(x-1)(x-3)

h) = (x-y)(x+y)- 2(x+y) = (x+y)(x-y-2)

# Chúc bạn học tốt #

Cảm ơn bạn!

mình khỏi ghi đề nha, bạ đọc tự hiểu nha

a) (3x+5)²

b) \(\frac{2}{3}\).\(\left(\frac{2}{3}x^4-24y^2\right)\)

d) x(x-10)+9

e) 4x²(2x + 15y) + 25y²(6x + 5y)  

f) b(-16a+b)

g) 15x(5x-4+1)

câu còn lại bạn tự làm nha, lười quá!

h) 

2/ (b⁴ - 4b² + 4) - 9a² = (b² - 2)²  - 9a² = (b² - 2 + 3a)(b² - 2 - 3a)

3/ (x² +1)(x² + x + 1)[x + (√13 - 7)/6][3x - (√13 + 7)/2]

bạn viết hẳn cách làm câu 3 cho mình đc k mình k hiểu lắm =)