Răspuns:
Explicație pas cu pas:
1) DVA=R\{9}
2) (a²-b²)/(a·b)=((-4)²-2²)/((-4)·2)=(16-4)/(-8)=12/(-8)=-3/2.
3)
[tex]\dfrac{7x-4}{7x+4} =\dfrac{(7x-4)(7x-4)}{(7x+4)(7x-4)} =\dfrac{(7x-4)^{2}}{(7x)^{2}-4^{2}}=\dfrac{(7x)^{2}-2*7x*4+4^{2}}{49x^{2}-16} =\dfrac{49x^{2}-56x+16}{49x^{2}-16}[/tex]
4)
[tex]\dfrac{x^{2}-6xy+9y^{2}}{x^{2}-9y^{2}}=\dfrac{x^{2}-2*x*3y+(3y)^{2}}{x^{2}-(3y)^{2}}=\dfrac{(x-3y)^{2}}{(x-3y)(x+3y)} =\dfrac{x-3y}{x+3y}[/tex]