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\(x^2-2x-35\)
\(=x^2-2x+1-36\)
\(=\left(x-1\right)^2-36\)
\(=\left(x-1\right)^2-6^2\)
\(=\left(x-1-6\right)\left(x-1+6\right)\)
\(=\left(x-7\right)\left(x+5\right)\)
Ủng hộ mik nha
Thanks @@@@@@
\(x^3+2x^2-2x-12=x^3-2x^2+4x^2-8x+6x-12\)
\(=x^2\left(x-2\right)+4x\left(x-2\right)+6\left(x-2\right)=\left(x-2\right)\left(x^2+4x+6\right)\)
\(x^3+2x^2-2x-12\)
\(=x^3-2x^2+4x^2-8x+6x-12\)
\(=x^2\left(x-2\right)+4x\left(x-2\right)+6\left(x-2\right)\)
\(=\left(x-2\right)\left(x^2+4x+6\right)\)
hk tốt
^^
a) ( 3x - 1 )2 - 4
= ( 3x - 1 ) - 22
= ( 3x - 1 - 2 )( 3x - 1 + 2 )
= ( 3x - 3 )( 3x + 1 )
= 3( x - 1 )( 3x + 1 )
b) ( x + y )2 - x2
= ( x + y - x )( x + y + x )
= y( 2x + y )
c) 100 - ( 2x - y )2
= 102 - ( 2x - y )2
= [ 10 - ( 2x - y ) ][ 10 + ( 2x - y ) ]
= ( 10 - 2x + y )( 10 + 2x - y )
d) ( 2x - 1 )2 - ( x - 1 )2
= [ ( 2x - 1 ) - ( x - 1 ) ][ ( 2x - 1 ) + ( x - 1 ) ]
= ( 2x - 1 - x + 1 )( 2x - 1 + x - 1 )
= x( 3x - 2 )
e) 4( x + 6 )2 - 9( 1 + x )2
= 22( x + 6 )2 - 32( 1 + x )2
= ( 2x + 12 )2 - ( 3 + 3x )2
= [ ( 2x + 12 ) - ( 3 + 3x ) ][ ( 2x + 12 + ( 3 + 3x ) ]
= ( 2x + 12 - 3 - 3x )( 2x + 12 + 3 + 3x )
= ( 9 - x )( 5x + 15 )
= 5( 9 - x )( x + 3 )
\(x^2-y^2\)
\(=x^2+xy-xy-y^2\)
\(=x\left(x+y\right)-y\left(x+y\right)\)
\(=\left(x+y\right)\left(x-y\right)\)
x3-x2+x+3=x3+1-x2+1+x+1
=(x+1)(x2+x+1)-(x2-1)+(x+1)
=(x+1)(x2+x+1)-(x+1)(x-1)+(x+1)
=(x+1)[(x2+x+1)-(x-1)+1]
=(x+1)(x2+x+1-x+1+1)
=(x+1)(x2+3)
\(x^2+x-6=x^2-2x+3x-6=x\left(x-2\right)+3\left(x-2\right)=\left(x-2\right)\left(x+3\right)\)
x2 + x - 6
= x2 - 2x + 3x - 6
= x ( x - 2 ) + 3 ( x - 2 )
= ( x - 2 ) ( x + 3 )
Ta có
1,\(3x^2+2x-1=3x^2+3x-x-1=3x\left(x+1\right)-\left(x+1\right)\)
\(\left(x+1\right)\left(3x-1\right)\)
2, \(x^3+2x^2+4x^2+8x+3x+6\)
\(=x^2\left(x+2\right)+4x\left(x+2\right)+3\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2+4x+3\right)\)
\(=\left(x+2\right)\left(x^2+x+3x+3\right)\)
\(=\left(x+2\right)\text{[}x\left(x+1\right)+3\left(x+1\right)\text{]}\)
\(=\left(x+2\right)\left(x+1\right)\left(x+3\right)\)
3,\(x^4+2x^2-3=x^4-x^2+3x^2-3\)
\(=x^2\left(x^2-1\right)+3\left(x^2-1\right)\)
\(\left(x^2-1\right)\left(x^2+3\right)=\left(x-1\right)\left(x+1\right)\left(x^2+3\right)\)
4,\(ab+ac+b^2+2bc+c^2\)
\(=a\left(b+c\right)+\left(b+c\right)^2\)
\(=\left(b+c\right)\left(a+b+c\right)\)
\(2x-3x^2+x\)
\(=x\left(2-3x+1\right)\)
\(=x\left(-3x+3\right)\)
\(=-3x\left(x-1\right)\)
2x - 3x2 + x
=x.(2-3x+1)
=x.(3-3x)
=x.(3.(1-x))
=3x.(1-x)