giup e với

a) x³ + 2x - 3

=x³+x²+3x-x²+x+3

=x(x²+x+3)-1(x²+x+3)

=(x-1)(x²+x+3)

b) x³ - x² + x + 3

=x³-2x²+3x+x²-2x+3

=x(x²-2x+3)+1(x²-2x+3)

=(x+1)(x²-2x+3)

c) 3x³ - 4x² + 13x - 4

=3x³-3x²+12-x²-x+4

=3x(x²-x+4)-1(x²-x+4)

=(3x-1)(x²-x+4)

d) 6x³ + x² + x + 1

=6x³-2x²+2x+3x²-x+1

=2x(3x²-x+1)+1(3x²-x+1)

=(2x+1)(3x²-x+1)

e)bạn phân tích tương tự nhé mk cho đáp án để bạn đổi chiếu nè

=(2x+1)(2x²+2x+1)

a: \(2y\left(x+2\right)-3x-6\)

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

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

b: \(3\left(x+4\right)-x^2-4x\)

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

\(=3\left(x+4\right)-x\left(x+4\right)\)

\(=\left(x+4\right)\left(3-x\right)\)

c: \(2\left(x+5\right)-x^2-4x\)

\(=2x+10-x^2-4x\)

\(=-x^2-2x+10\)

\(=-x^2-2x-1+11\)

\(=11-\left(x^2+2x+1\right)\)

\(=11-\left(x+1\right)^2\)

\(=\left(\sqrt{11}-x-1\right)\left(\sqrt{11}+x+1\right)\)

d: \(x^2+6x-3x-18\)

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

\(=x\left(x+6\right)-3\left(x+6\right)\)

\(=\left(x+6\right)\left(x-3\right)\)

\(1.\)

\(4x^2-4x-3\)

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

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

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

\(2.\)

\(2x^2-5x-3\)

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

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

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

\(3.\)

\(3x^2-5x-2\)

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

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

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

\(4.\)

\(2x^2+5x+2\)

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

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

\(=\left(2x+1\right)\left(x+2\right)\)

\(5.\)

\(6x^2-x-1\)

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

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

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

\(6.\)

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

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

\(7.\)

\(15x^2-2x-1\)

\(=15x^2+3x-5x-1\)

\(=3x\left(5x+1\right)-1\left(5x+1\right)\)

\(=\left(5x+1\right)\left(3x-1\right)\)

\(8.\)

\(x^4-13x^2+36\)

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

\(=\left(x-3\right)\left(x-2\right)\left(x^2+5x+6\right)\)

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

a) \(3xy-6xy^2=3xy\left(1-2y\right)\)

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

c) \(x^3-x^2+2\)

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

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

f) \(x^2+2x+1-9y^2=\left(x+1\right)^2-\left(3y\right)^2=\left(x-3y+1\right)\left(x+3y+1\right)\)

g) \(6x^2-12x=6x\left(x-2\right)\)

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

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

k) \(2x^3+2x^2y-4xy^2=2x\left(x^2+xy-2y^2\right)\)

l) \(x^3-7x^2+9x+3x^2-21x+27=x\left(x^2-7x+9\right)+3\left(x^2-7x+9\right)=\left(x+3\right)\left(x^2-7x+9\right)\)

\(a,=x\left(4x^2-1\right)=x\left(2x-1\right)\left(2x+1\right)\\ b,=2\left(3x-2\right)-x\left(3x-2\right)=\left(2-x\right)\left(3x-2\right)\\ c,=x\left(y-1\right)-\left(y-1\right)=\left(x-1\right)\left(y-1\right)\\ d,=\left(y+2\right)^2-4x^2=\left(y+2-2x\right)\left(y+2+2x\right)\\ e,=x^2-x-2x+2=\left(x-1\right)\left(x-2\right)\)

a) \(4x^3-x^2=x^2\left(4x-1\right)\)

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

c) \(xy+1-x-y=\left(xy-x\right)-\left(y-1\right)=x\left(y-1\right)-\left(y-1\right)=\left(x-1\right)\left(y-1\right)\)

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

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

1) 2x² - 4x = 2x( x - 2 )

2) 3x - 6y = 3( x - 2y )

3) x² - 3x = x( x - 3 )

4) 4x² - 6x = 2x( x - 3 )

5) x³ - 4x = x( x² - 4 ) = x( x - 2 )( x + 2 )

1) \(2x^2-4x=2x\left(x-2\right)\)

2) \(3x-6y=3\left(x-2y\right)\)

3) \(x^2-3x=x\left(x-3\right)\)

4) \(4x^2-6x=2x\left(2x-3\right)\)

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

1, \(2x^2-4x=2x\left(x-2\right)\)

2, \(3x-6y=3\left(x-2y\right)\)

3, \(x^2-3x=x\left(x-3\right)\)

4, \(4x^2-6x=2x\left(x-3\right)\)

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

\(P\left(x\right)=6x^3+13x^2+4x-3\)

\(=\left(6x^3+6x^2\right)+\left(7x^2+7x\right)-\left(3x-3\right)\)

\(=6x^2\left(x+1\right)+7x\left(x+1\right)-3\left(x+1\right)\)

\(=\left(6x^2+7x-3\right)\left(x+1\right)\)

\(=\left[\left(6x^2-2x\right)+\left(9x-3\right)\right]\left(x+1\right)\)

\(=\left[2x\left(3x-1\right)+3\left(3x-1\right)\right]\left(x+1\right)\)

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

a) \(4x\left(a-b\right)+6xy\left(b-a\right)\)

\(=4x\left(a-b\right)-6xy\left(a-b\right)\)

\(=\left(4x-6xy\right)\left(a-b\right)\)

\(=2x\left(2-3y\right)\left(a-b\right)\)

b) \(\left(6x+3\right)-\left(2x-5\right)\left(2x+1\right)\)

\(=3\left(2x+1\right)-\left(2x-5\right)\left(2x+1\right)\)

\(=\left(3-2x+5\right)\left(2x+1\right)\)

\(=\left(8-2x\right)\left(2x+1\right)\)

\(=2\left(4-x\right)\left(2x+1\right)\)

g: \(\left(3x-1\right)^2-\left(x+3\right)^2\)

\(=\left(3x-1-x-3\right)\left(3x-1+x+3\right)\)

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

\(=4\left(x-2\right)\left(2x+1\right)\)