\(a,x^3-4x=x\left(x^2-4\right)=x\left(x-2\right)\left(x+2\right)\\ b,2x^3-8x=2x\left(x^2-4\right)=2x\left(x-2\right)\left(x+2\right)\\ c,2x^2+6x=2x\left(x+3\right)\\ d,10x+15y=5\left(2x+3y\right)\)

Tick plz

a. \(x^3-4x=x\left(x^2-4\right)=x\left(x-2\right)\left(x+2\right)\)

b. \(2x^3-8x=2x\left(x^2-4\right)=2x\left(x-2\right)\left(x+2\right)\)

c. \(2x^2+6x=2x\left(x+3\right)\)

d. \(10x+15y=5\left(2x+3y\right)\)

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

b) \(2x^3-8x=2x\left(x^2-4\right)=2x\left(x-2\right)\left(x+2\right)\)

c) \(2x^2+6x=2x\left(x+3\right)\)

d) \(10x+15y-5\left(2x+3y\right)\)

\(a,=x^2(2x-3)\\ b,=x(x+5y)+(x+5y)=(x+5y)(x+1)\)

a) 2x³- 3x²
x²( 2 - 3x )

b) x²+ 5xy + x + 5y
x ( x + 5y ) + ( x + 5y)
(x + 1 )( x + 5y)

1, \(xy^3-x^3y=xy\left(y^2-x^2\right)=xy\left(y-x\right)\left(x+y\right)\)

2, \(5x\left(3y+4x-6\right)\)

3, \(3x\left(2-y\right)\)

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

5, \(x\left(4x^2-12x+9\right)=x\left(2x-3\right)^2\)

6, \(2xy\left(x+2y-5x^2y\right)\)

7, \(x^2\left(x^2+2x+1\right)=x^2\left(x+1\right)^2\)

11, \(\left(x+y\right)\left(x-1\right)\)

\(1,xy^3-x^3y=xy\left(y^2-x^2\right)=xy\left(y-x\right)\left(y+x\right)\\ 2,15xy+20x^2-30x=5x\left(3y+4x-6\right)\\ 3,6x-3xy=3x\left(2-y\right)\\ 4,x^3+2x^2+x=x\left(x^2+2x+1\right)=x\left(x+1\right)^2\\ 5,4x^3-12x^2+9x=x\left(4x^2-12x+9\right)=x\left(2x-3\right)^2\\ 6,2x^2y+4xy^2-10x^3y^2=2xy\left(x+2y-5x^2y\right)\\ 11,x\left(x-1\right)-y\left(1-x\right)=x\left(x-1\right)+y\left(x-1\right)=\left(x-1\right)\left(x+y\right)\)

\(a,=3\left(x-5\right)-x\left(x-5\right)=\left(3-x\right)\left(x-5\right)\\ b,=7\left(x^2-2xy+y^2\right)=7\left(x-y\right)^2\\ c,=\left(x^2+y^2-2xy\right)\left(x^2+y^2+2xy\right)=\left(x-y\right)^2\left(x+y\right)^2\\ d,=\left(y^2-6y+9\right)-25x^2=\left(y-3\right)^2-25x^2=\left(y-5x-3\right)\left(y+5x-3\right)\)

a) \(=2y^3\left(x^2-16\right)=2y^3\left(x-4\right)\left(x+4\right)\)

b) \(=7y\left(x^2-2x+1\right)=7y\left(x-1\right)^2\)

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

a: \(2x^2y^3-32y^3=2y^3\left(x-4\right)\left(x+4\right)\)

b: \(7x^2y-14xy+7y=7y\left(x^2-2x+1\right)=7y\left(x-1\right)^2\)

e: \(x^2+6x+9-y^2\)

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

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

f: \(x^2-2x+7x-14\)

\(=x\left(x-2\right)+7\left(x-2\right)\)

=(x-2)(x+7)

h: \(5x^2-10xy+5y^2-20\)

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

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

a: \(3x^4-6x^3+2x^2=x^2\left(3x^2-6x+2\right)\)

b: \(x^3y+12x^2y+36xy=xy\left(x^2+12x+36\right)=xy\left(x+6\right)^2\)

c: \(x^3y-9xy^3=xy\left(x^2-9y^2\right)=xy\left(x-3y\right)\left(x+3y\right)\)

d: \(x^2y^2-2xy^2+y^2=y^2\left(x-1\right)^2\)

a, N(x) =3x^4 - 2x + 2x^3

+

   P(x) =             5x - 6x^3 -8

  _______________________

N(x) + P(x) = 3x^4 + 3x - 4x^3 - 8

@Huyền 

b, B(x) = -2x^3 . (x^3y -2x^2y^2 + 5xy^3

= -2xy^2 . x^3y + (-2xy^2 ) .2x^2y^2 + (-2xy^2) . 5xy^3

= -2x^4y^3 + (-4x^3y^4) +(-10x^2y^5)

@Huyền 

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