Question

a2 + 2a + 1 factories the following trinomial


answer the solution quickly!​

Answer 1

How to solve your question

a2+ 2a +1

Grouping

1. Use the sum-product pattern

a2+ 2a +1

a2 + a + a + 1

2. Common factor from the two pairs

a2 + a + a + 1

a(a +1) + a + 1

3. Rewrite in factored form

a(a +1) + a + 1

(a + 1)(a + 1)

4. Combine to a square

a(a +1)(a+1)

(a + 1)^2

Solution

(a+1)^2