\(x^2+6x-7\)

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2 tháng 7 2018

\(x^2+6x-7\)

\(\Rightarrow x^2-x+7x-7\)

\(\Rightarrow x\left(x-1\right)+7\left(x-1\right)\)

\(\Rightarrow\left(x-1\right)\left(x+7\right)\)

2 tháng 7 2018

\(x^2+6x-7\)

\(=x^2+2.x.3+3^2-3^2-7\)

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

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

\(=\left(x+3\right)^2-\sqrt{16}^2\)

\(=\left(x+3-\sqrt{16}\right).\left(x+3-\sqrt{16}\right)\)

24 tháng 7 2016

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

b)\(6x^4+7x^2+2=6x^4+4x^2+3x^2+2=\left(3x^2+2\right)\left(2x^2+1\right)\)

c)\(2x^2-3x-2700=2x^2+72x-75x+2700=\left(2x-75\right)\left(x+36\right)\)

x2 + 6x - y2 + 9 = 

= ( x2 + 6x + 9 ) - y2 

= ( x + 3 )2 - y2 

= ( x + 3 - y ) . ( x + 3 + y )

Hok tốt!!!!!!!!!!!

5 tháng 8 2018

a) \(x^2-6x+8=x^2-4x-2x+8=x\left(x-4\right)-2\left(x-4\right)=\left(x-4\right)\left(x-2\right)\)

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

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

5 tháng 8 2018

a) x^2 -6x +8 

= x^2 - 2x -4x +8

= x(x -2) - 4 ( x-2)

= (x-2)(x-4)

b) x^2 - 4x +3

= x^2 -x - 3x +3

= x(x-1) -3(x-1)

= (x-1)(x-3)

26 tháng 7 2016

\(16x-5x^2-2\)

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

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

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

5 tháng 8 2018

\(x^2-6x+8\)

\(=x^2-2x-4x+8\)

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

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

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

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

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

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

\(x^2-x-12\)

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

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

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

5 tháng 8 2018

a) \(x^2-6x+8=x^2-2x-4x+8=x\left(x-2\right)-4\left(x-2\right)\\ =\left(x-2\right)\left(x-4\right)\)

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

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

2 tháng 7 2018

a)  \(x^2+3x+2\)

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

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

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

b)  \(x^2+5x+6\)

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

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

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

c)  \(x^2+5x+6\)

( giống câu b -_- )

d)  \(x^2+7x+12\)

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

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

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

2 tháng 7 2018

\(1,x^2+3x+2\)

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

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

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

\(2,x^2+5x+6\)

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

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

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

\(4,x^2+7x+12\)

\(=x^2+3x+4x+12\)

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

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

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

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

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

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

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

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

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

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

\(8,x^2-3x-10\)

\(=x^2-5x+2x-10\)

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

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

24 tháng 9 2017

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

\(=4x^2-4x+1-4\)

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

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

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