4a²b² + 36a²b³ + 6ab⁴

= 2ab²(2a + 18ab + 3b²)

4a²b³ - 6a³b²

= 2a²b²(2b - 3a)

con dc thầy tick 

thêm GP 

=))

a^3+b^3+6ab-8=

\(\left(a+b-2\right)\left(b^2-ab+2b+a^2+2a+4\right)\)

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a^3+b^3+6ab-8=(a + b - 2) (a² - a b + 2a + b² + 2b + 4)

4a²b² + 36a²b³ + 6ab⁴

= 2ab²(2a + 18ab + 3b²)

3n(m - 3) + 5m(m - 3)

= (3n + 5m)(m - 3)

2a(x - y) - (y - x)

= (x - y)(2a + 1)

4a²b³ - 6a³b²

= 2a²b²(2b - 3a)

​\(9a^2b+6ab^2+b^3-6ab-2b^2\)

\(=b\left(9a^2+6ab+b^2-6a-2b\right)\)

\(=b\left[\left(3a+b\right)^2-2\left(3a+b\right)\right]\)

\(=b\left(3a+b\right)\left(3a+b-2\right)\)

\(=b\left(9a^2+6ab+b^2\right)-2b\left(3a+b\right)\)

\(=b\left(3a+b\right)^2-2b\left(3a+b\right)\)

\(=b\left(3a+b\right)\left(3a+b-2\right)\)

\(9a^2b+6ab^2+b^3-6ab-2b^2\)

\(=b\left(9a^2+6ab+b^2-6a-2b\right)\)

\(=b\left[\left(3a+b\right)^2-2\left(3a+b\right)\right]\)

\(=b\left(3a+b\right)\left(3a+b-2\right)\)

bằng (3a-b)^2-1 

bằng (3a-b+1)(3a-b+1)

\(A=9a^2-6ab+b^2-1\)

\(A=\left(3a-b\right)^2-1\)

\(A=\left(3a-b-1\right)\left(3a-b+1\right)\)

P/s haphuong

a: \(x^3-2x^2-5x+6\)

\(=x^3-x^2-x^2+x-6x+6\)

\(=\left(x-1\right)\left(x^2-x-6\right)=\left(x-1\right)\left(x-3\right)\left(x+2\right)\)

b: \(x^4+5x^2+6\)

\(=x^4+2x^2+3x^2+6\)

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

c: \(x^3+4x^2+5x+2\)

\(=x^3+x^2+3x^2+3x+2x+2\)

\(=\left(x+1\right)\left(x^2+3x+2\right)=\left(x+1\right)^2\cdot\left(x+2\right)\)

d: \(x^4+324\)

\(=x^4+36x^2+324-36x^2\)

\(=\left(x^2+18\right)^2-\left(6x\right)^2=\left(x^2+18+6x\right)\left(x^2+18-6x\right)\)

a) 3a²-6ab+3b²-12c²

=3.(a²-2ab+b²-4c²)

=3.[(a-b)²-4c²]

=3.(a-b-2c)(a-b+2c)