192k views
4 votes
(a-3)² is the same as a² + 9 ² - 9a² - 6a + 9a² + 6a - 9.

A. True
B. False

User Nababa
by
8.3k points

1 Answer

5 votes

Final answer:

Upon expanding and simplifying both expressions, (a-3)^2 simplifies to a^2 - 6a + 9 while the other complex expression simplifies to a^2 + 72 which are clearly not equal. therefore, the statement is False.

Step-by-step explanation:

To evaluate whether the statement (a-3)² is the same as a² + 9 ² - 9a² - 6a + 9a² + 6a - 9 is true or false, we must first expand the binomial (a-3)² correctly.

Using the formula (x-y)² = x² - 2xy + y², we get:

  • -2*a*3

which simplifies to a² - 6a + 9.

Looking at the expression a² + 9 ² - 9a² - 6a + 9a² + 6a - 9, we can simplify it by combining like terms:

  • a² - 9a² + 9a²
  • 9 ²
  • - 6a + 6a
  • - 9

The result of this simplification is a² + 81 - 9, which can be further simplified to a² + 72. This is not equal to a² - 6a + 9. Therefore, the statement is False.

User NJMR
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories