\(a)\)\(\left(x-y\right)\left(x+y\right)\)
\(=\)\(x\left(x-y\right)+y\left(x-y\right)\)
\(=\)\(x^2-xy+xy-y^2\)
\(=\)\(x^2-y^2\)
\(b)\)\(\left(x+y\right)^2\)
\(=\)\(\left(x+y\right)\left(x+y\right)\)
\(=\)\(x\left(x+y\right)+y\left(x+y\right)\)
\(=\)\(x^2+xy+xy+y^2\)
\(=\)\(x^2+2xy+y^2\)
Hai công thức này lớp 8 bạn sẽ học ^^
a.(x-y).(x+y)=x.(x+y)-y.(x+y)=x2+xy-(yx+y2)
=x2+xy-yx-y2=x2+0-y2=x2-y2(vì xy=yx mà)
vậy...
b.(x+y)2=(x+y).(x+y)=x.(x+y)+y.(x+y)
=x2+xy+yx+y2=x2+2xy+y2
vậy.....