Question

Which of the following is equivalent to the sum of the expressions a‚a-1 and a +1 ? 1) a² + a 2) a² - 1 3) 2a² 4) 93

Answer 1

To find the expression equivalent to the sum of a(a-1) and a +1, you expand and combine like terms, leading to a² - a + a + 1, which simplifies to a² + 1. Option 2) a² - 1 is the equivalent expression.

Step-by-step explanation:

The sum of the expressions a^2 - a + a + 1 is equivalent to a^2 + a.

To see this, we can group the terms with a^2 and the terms with a:

a^2 - a + a + 1 = a^2 - 1 + a

Now, we can combine like terms:

a^2 - 1 + a = a^2 + a

Therefore, the sum of the expressions a^2 - a and a + 1 is equivalent to the expression a^2 + a.

So, option (a) is equivalent to the sum of the expressions a^2 - a and a + 1.