-5x^2- 25xy +10y^2
(phân tích theo nhân tử chung)
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\(a,3x-15xy=3x\left(1-5y\right)\\ ---\\ 8x^2+6x-4=2\left(4x^2+3x-2\right)\\ ---\\ 5x^2+25xy+10y^2=5\left(x^2+5xy+2y^2\right)\\ ---\\ 9x^2y^2+6x^2y-\dfrac{1}{2}xy^2=\dfrac{1}{2}xy\left(18xy+12x-y\right)\)
\(=2xy+5x+4y^2+10y\)
\(=x\left(2y+5\right)+2y\left(2y+5\right)\)
\(=\left(x+2y\right)\left(2y+5\right)\)
\(=2x\left(x+2y\right)+5\left(x+2y\right)=\left(x+2y\right)\left(2x+5\right)\)
a)15x^2y-20xy^2-25xy=5xy(3x^2-4y-5)
b) x^2-9-2xy+y^2=(x^2-2xy+y^2)-9=(x-y)^2-3^2=(x-y-3)(x-y+3)
c)2x^2-5x-7=2x^2 -7x+2x-7 = x(2x-7)+(2x-7) =(2x-7)(x+1)
=(x^5-5x^2)-(2xy+10y)
=(x^5-5x^2)-(2xy-10y)
=x^2.(x-5)-2y.(x-5)
=(x^2-2y).(x-5)
k nha
\(x^3-5x^2-2xy+10y=x^2\left(x-5\right)-2y\left(x-5\right)=\left(x-5\right)\left(x^2-2y\right)=\left(x-5\right)\left(x-2y\right)\left(x+2y\right)\)
\(x^2-5x+2xy-10y\)
\(=\left(x^2-5x\right)+\left(2xy-10y\right)\)
\(=x\left(x-5\right)+2y\left(x-5\right)\)
\(=\left(x+2y\right)\left(x-5\right)\)
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) \(4x^2-y^2+4x+1\)
\(=\left(4x+4x^2+1\right)-y^2\)
\(=\left(2x+1\right)^2-y^2\)
\(=\left(2x+y+1\right)\left(2x-y+1\right)\)
\(-5x^2-25xy+10y^2=-5\left(x^2+5xy-2y^2\right)\)