👤

Stebiliti daca : (x+a/2) la patrat - (x-a/2) la patrat = ax, a apartine R , x apartine R . HELP

Răspuns :

Folosind formula [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] descompui expresia

[tex](x+\frac{a}{2}-(x-\frac{a}{2})) * (x+ \frac{a}{2}+x- \frac{a}{2)}[/tex]

[tex](x + \frac{a}{2}-x+ \frac{a}{2}) *2x[/tex]

(x-x se reduc, [tex]\frac{a}{2}+ \frac{a}{2} =a[/tex]

a*2x=2ax