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Bài làm:
a) \(2x^2+7x+5=\left(2x^2+2x\right)+\left(5x+5\right)=2x\left(x+1\right)+5\left(x+1\right)\)
\(=\left(2x+5\right)\left(x+1\right)\)
b) \(x^3-2x-4=\left(x^3-2x^2\right)+\left(2x^2-4x\right)+\left(2x-4\right)\)
\(=x^2\left(x-2\right)+2x\left(x-2\right)+2\left(x-2\right)=\left(x-2\right)\left(x^2+2x+2\right)\)
c) \(x^2+4x+3=\left(x^2+x\right)+\left(3x+3\right)=x\left(x+1\right)+3\left(x+1\right)\)
\(=\left(x+1\right)\left(x+3\right)\)
2x2 + 7x + 5 = 2x2 + 2x + 5x + 5 = ( 2x2 + 2x ) + ( 5x + 5 ) = 2x( x + 1 ) + 5( x + 1 ) = ( 2x + 5 )( x + 1 )
x2 + 4x + 3 = x2 + x + 3x + 3 = ( x2 + x ) + ( 3x + 3 ) = x( x + 1 ) + 3( x + 1 ) = ( x + 3 )( x + 1 )
a) \(5x^2+5xy-x-y\)
\(=5x.\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(5x-1\right)\)
b) \(5x^2-10y+5y^2-20z^2\)
\(=5.\left(x^2-2y+y^2-4z^2\right)\)
Đề sai ở đâu đó.
c) \(4x^2-y^2+4x+1\)
\(=\left(4x+4x^2+1\right)-y^2\)
\(=\left(2x+1\right)^2-y^2\)
\(=\left(2x+y+1\right)\left(2x-y+1\right)\)
\(x^3+2x^2-2x-12=x^3-2x^2+4x^2-8x+6x-12\)
\(=x^2\left(x-2\right)+4x\left(x-2\right)+6\left(x-2\right)=\left(x-2\right)\left(x^2+4x+6\right)\)
\(x^3+2x^2-2x-12\)
\(=x^3-2x^2+4x^2-8x+6x-12\)
\(=x^2\left(x-2\right)+4x\left(x-2\right)+6\left(x-2\right)\)
\(=\left(x-2\right)\left(x^2+4x+6\right)\)
hk tốt
^^
\(x^2-2x-35\)
\(=x^2-2x+1-36\)
\(=\left(x-1\right)^2-36\)
\(=\left(x-1\right)^2-6^2\)
\(=\left(x-1-6\right)\left(x-1+6\right)\)
\(=\left(x-7\right)\left(x+5\right)\)
Ủng hộ mik nha
Thanks @@@@@@
\(2x-3x^2+x\)
\(=x\left(2-3x+1\right)\)
\(=x\left(-3x+3\right)\)
\(=-3x\left(x-1\right)\)
2x - 3x2 + x
=x.(2-3x+1)
=x.(3-3x)
=x.(3.(1-x))
=3x.(1-x)