Question

Simplifique a expressão algébrica:
(a + b)² - (a - b)² - 4ab

Answer 1

$(a + b)^2 - (a - b)^2 - 4ab\to\\\\ (a + b)(a + b)-(a - b)(a - b)-4ab\to\\\\ (a^2+ab+ab+b^2)-(a^2-ab-ab+b^2)-4ab\to\\\\ (a^2+2ab+b^2)-(a^2-2ab+b^2)-4ab\to\\\\a^2+2ab+b^2-a^2+2ab-b^2-4ab\to\\\\\not a^2-\not a^2+\not b^2-\not b^2+2ab+2ab-4ab\to\\\\ \not4ab-\not4ab\to\\\\ \large\boxed{\boxed{0}}$