Question

What term be added to make perfect square?
(i). 4a² + 28a​

Answer 1

To make the expression 4a² + 28a a perfect square, you need to add 196 to it.

Step-by-step explanation:

To make the expression 4a² + 28a a perfect square, we need to add a term that completes the square. The term we need to add is the square of half the coefficient of the middle term. In this case, the middle term is 28a, so we need to add (28/2)² = 14² = 196 to the expression.

Adding 196 to 4a² + 28a gives us:

4a² + 28a + 196

Now the expression is a perfect square, specifically the square of (2a + 14).