a) \(x^2+2x+1-y^2 = (x^2 +2x+1) – y^2\)
\(= (x+1)^2 - y^2\)
\(= (x+1+ y) (x+1- y)\)
b) \(2xy+z+2x+yz\)
\(=\left(2xy+2x\right)+\left(z+yz\right)\)
\(=2x\left(y+1\right)+z\left(y+1\right)\)
\(=\left(2x+z\right)\left(y+1\right)\)
c) \(x^2+x-xy-y\)
\(=\left(x^2+x\right)-\left(xy+y\right)\)
\(=x\left(x+1\right)-y\left(x+1\right)\)
\(=\left(x-y\right)\left(x+1\right)\)
d) \(5x^2-5xy+10x+10y\)
\(=\left(5x^2-5xy\right)+\left(10x+10y\right)\)
\(=5x\left(x-y\right)-10\left(x-y\right)\)
\(=\left(x-y\right)\left(5x-10\right)\)
a, x2+2x+1-y2= (x+1)2-y2= (x+1-y)(x+1+y)
b, 2xy+z+2x+yz= (2xy+2x)+(z+yz)
= 2x(y+1)+z(y+1)
= (2x+z)(y+1)
c, x2 +x - xy - y = x(x+1) - y(x+1)
= (x - y)(x+1)
d, 5x2 - 5xy - 10x + 10y=5x(x-y) - 10(x-y)
= (5x-10)(x-y).(Câu này có thể là sai đề nên mik đã sửa lại đề cho dễ làm nha). Chúc bạn học tốt!!!
a, \(x^2+2x+1-y^2\)
\(=\left(x+1\right)^2-y^2\)
\(=\left(x+y-1\right)\left(x-y-1\right)\)
b, \(2xy+z+2x+yz\)
\(=y\left(2x+z\right)+\left(2x+z\right)\)
\(=\left(y+1\right)\left(2x+z\right)\)
c, \(x^2+x-xy-y\)
\(=x\left(x+1\right)-y\left(x+1\right)=\left(x-y\right)\left(x+1\right)\)
d, sai đề à?
a, \(x^2+2x+1-y^2=\left(x+1\right)^2-y^2=\left(x+1-y\right)\left(x+1+y\right)\)
b, \(2xy+z+2x+yz=\left(2xy+2x\right)+\left(z+yz\right)\)
\(=2x\left(y+1\right)+z\left(y+1\right)=\left(y+1\right)\left(2x+z\right)\)
c, \(x^2+x-xy-y=\left(x^2-xy\right)+\left(x-y\right)\)
\(=x\left(x-y\right)+\left(x-y\right)=\left(x+1\right)\left(x-y\right)\)
d, đề sai thì ph
Cho mình sửa lại câu d xíu. Ko phải đề sai nha
d, 5x2 - 5xy+10x+10y= 5x2 +10x-5xy+10y
= 5x(x+2)-5y(x+2)
=(5x-5y)(x+2)=5(x-y)(x+2)
a) \(x^2+2x+1-y^2\)
\(=\left(x+y\right)^2-y^2\)
\(=\left(x+y-y\right)\left(x+y+y\right)\)
\(=x\left(x+2y\right)\)
b) \(2xy+z+2x+yz\)
\(=2xy+2x+yz+z\)
\(=2x\left(y+1\right)+z\left(y+1\right)\)
\(=\left(y+1\right)\left(2x+z\right)\)
c) \(x^2+x-xy-y\)
\(=\left(x^2+x\right)-\left(xy+y\right)\)
\(=x\left(x+1\right)-y\left(x+1\right)\)
\(=\left(x+1\right)\left(x-y\right)\)
d) \(5x^2-5xy+10x+10y\)
\(=\left(5x^2+10x\right)-\left(5xy-10y\right)\)
\(=5x\left(x+2\right)-5y\left(x-2\right)\)
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