Question

Simplifique as expressões:
(a+b)+(a-b) tudo ao quadrado

Answer 1

$(a+b)^{2}=(a+b).(a+b)= a^{2}+ab+ab+ b^{2}=a^{2}+2ab+ b^{2} \\ \\ (a-b)^{2}=(a-b).(a-b)= a^{2}-ab-ab+ b^{2}=a^{2}-2ab+ b^{2} \\ \\a^{2}+2ab+ b^{2}+a^{2}-2ab+ b^{2} \\ \\ 2a^{2}+2b^{2} \\ \\ \frac{2a^{2}}{2}+ \frac{2b^{2}}{2} \\ \\ a^{2}+ b^{2}$