Răspuns: [tex]\large \bf\red{ \big(a^{2}-b^{2} +ab\big)\cdot \big(a^{2}-b^{2} -ab\big)}[/tex]
Explicație pas cu pas:
[tex]\large \bf a^{4} +b^{4}-3a^{2}b^{2} =[/tex]
[tex]\large \bf a^{4} +b^{4}-2a^{2}b^{2}-a^{2}b^{2} =[/tex]
[tex]\large \bf \underline{a^{4}-2a^{2}b^{2} +b^{4}} -(ab)^{2} =[/tex]
[tex]\large \bf \big(a^{2}-b^{2}\big)^{2} -\big(ab\big)^{2} =[/tex]
[tex]\large \bf\red{ \big(a^{2}-b^{2} +ab\big)\cdot \big(a^{2}-b^{2} -ab\big)}[/tex]
☸Formule de calcul prescurtat folosite:
(a - b)² = a² - 2ab + b²
(a + b)(a - b) = a² - b² sau a² - b² = (a + b)(a - b)
Bafta multa !
