Question

(a-b)² + _____ = a²+b²​

Answer 1

Step-by-step explanation:

(a - b)² does not equal a² - b² because ...

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²= a² + (-ab) + (-ab) + b²

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²= a² + (-ab) + (-ab) + b²= a² + (-2ab)+ b²

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²= a² + (-ab) + (-ab) + b²= a² + (-2ab)+ b²= a² - 2ab + b² is the final result which does not equal, i.e., is not the same as

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²= a² + (-ab) + (-ab) + b²= a² + (-2ab)+ b²= a² - 2ab + b² is the final result which does not equal, i.e., is not the same asa² - b² = (a - b)(a + b)

(a - b)² does not equal a² - b² because ...(a - b)² = (a - b)(a - b)= a(a - b) - b(a - b)= a(a - b) + [-(b(a - b))]= a[a + (-b)] + [-b(a + (-b))]= a(a) + a(-b) + (-b)(a) + (-b)(-b)= a² + (-ab) + (-ba) + b²= a² + (-ab) + (-ab) + b²= a² + (-2ab)+ b²= a² - 2ab + b² is the final result which does not equal, i.e., is not the same asa² - b² = (a - b)(a + b)This exercise proves that when an algebraic expression such as a - b is raised to a given power, e.g., 2, the exponent, in this case, 2, is not distributed to each term in the expression, that is, (a - b)² does not equal a² - b² .