a) \(=3\left(5y+4x\right)\)

b) \(=\left(x-3\right)^2\)

c) \(=y\left(y^2+2y+3\right)\)

a) 15x + 15y = 15(x + y)

b) 6x - 10y = 2(3x - 5y)

c) 2a + 4b - 6c = 2(a + 2b - 3c)

d) 6xy - 12x - 18y = 6(xy - 2x - 3y)

e) 2(x + y) - 5a(x + y) = (2 - 5a)(x + y)

f) 6x(x - y) + 5(y - x) = 6x(x - y) + (-5)(x - y) = (6x - 5)(x - y)

a) \(15x+15y=15\left(x+y\right)\)

b) \(6x-10y=2\left(3x-5y\right)\)

c) \(2a+4b-6c=2\left(a+2b-3c\right)\)

d) \(6xy-12x-18y=6\left(xy-2x-3y\right)\)

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

f) \(6x\left(x-y\right)+5\left(y-x\right)=6x\left(x-y\right)-5\left(x-y\right)=\left(6x-5\right)\left(x-y\right)\)

a, \(15x+15y=15\left(x+y\right)\)

b, \(6x-10y=2\left(3x-5y\right)\)

c, \(2a+4b-6c=2\left(a+2b-3c\right)\)

d, \(6xy-12x-18y=2\left(3xy-6x-9y\right)\)

e, \(2\left(x+y\right)-5a\left(x+y\right)=\left(x+y\right)\left(2-5a\right)\)

f, \(6x\left(x-y\right)+5\left(y-x\right)=6x\left(x-y\right)-5\left(x-y\right)=\left(x-y\right)\left(6x-5\right)\)

full nhé ^^

a) x2 - 7x + 5 = ( x2 - 2 . 7/2 . x + 49 / 4 ) + 5 - 49 / 4 
= (x - 7/2)^2 - 29/4
= (x - 7/2)^2 - (√ 29 / 2 )^2
= ( x - ( 7 + √ 29 / 2 )). ( x + ( 7 - √ 29 / 2 ))

a)\(\left(y-z\right)\left(12x^2-6x\right)+\left(y-z\right)\left(12x^2+6x\right)\)

\(=\left(y-z\right)\left(12x^2-6x+12x^2+6x\right)\)

\(=24x^2\cdot\left(y-z\right)\)

\(a,\left(y-z\right)\left(12x^2-6x\right)+\left(y-z\right)\left(12x^2+6x\right)\)
\(=\left(y-z\right)\left(12x^2-6x+12x^2+6x\right)\)
\(=24x^2\left(y-z\right)\)

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)

\(3,=\left(x-y\right)^3+\left(y-x+x-z\right)^3+\left(z-x\right)^3\\ =\left(x-y\right)^3+\left(y-x\right)^3+3\left(y-x\right)\left(x-z\right)\left(y-x+x-z\right)+\left(x-z\right)^3+\left(z-x\right)^3\\ =\left(x-y\right)^3-\left(x-y\right)^3+3\left(y-x\right)\left(x-z\right)\left(y-z\right)-\left(z-x\right)^3+\left(z-x\right)^3\\ =3\left(y-x\right)\left(x-z\right)\left(y-z\right)\)

\(4,=\left(x^4+3x^3-x^2\right)+\left(3x^3+9x^2-3x\right)-\left(x^2+3x-1\right)\\ =x^2\left(x^2+3x-1\right)+3x\left(x^2+3x-1\right)-\left(x^2+3x-1\right)\\ =\left(x^2+3x-1\right)\left(x^2+3x-1\right)\\ =\left(x^2+3x-1\right)^2\)

Bạn cần viết đề bằng công thức toán để được hỗ trợ tốt hơn.

:) bóc lột !

Câu 1: 

a) 2x(3x+2) - 3x(2x+3) = 6x^2+4x - 6x^2-9x = -5x

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

\(=x^3+6x^2+12x+8+x^2-6x+9-x^3-5x^2\)

\(=2x^2+6x+17\)

c) \(\left(3x^3-4x^2+6x\right)\div\left(3x\right)=x^2-\dfrac{4}{3}x+2\)

Câu 2: 

\(2x^3-12x^2+18x=2x\left(x^2-6x+9\right)=2x\left(x^2-2.x.3+3^2\right)=2x\left(x-3\right)^2\)