**Square of the Sum of Two Numbers**

**Thesquare of the two numbers is said as perfect square. Let us take the two number a and b for adding. Thus,the expression of sum of the two number is (a + b). Now the expression of the square of the sum of two numbers is (a + b) ^{2}. Let see how to get the result of square of the sum of two numbers.**

**Expanded Form - Square of the Sum of Two Numbers:**

**Where a and b are two number, then expand form of the square of the sum of the two numbers is (a + b) ^{2} = a^{2} + b^{2} + 2ab.**

**Example problem - Square of the Sum of Two Numbers:**

**Example 1:**

**What is the square of the sum of two numbers 3 and 5?**

**Solution:**

**Formula: (a + b) ^{2} = a^{2} + b^{2} + 2ab.**

**(3 + 5) ^{2} = 3^{2} + 5^{2} + 2 * 3 * 5**

**(3 + 5) ^{2 }= 9 + 25 + 30 = 64**

**(3 + 5) ^{2} = 64**

**Answer: The Square of the sum of two numbers 3 and 5 is 64.**

**Another Method:**

**Step 1: First sum the given two number 3 and 5**

**3 + 5 = 8**

**Step 2: Square the sum of the given two numbers.**

**8 ^{2} = 8 × 8 = 64**

**Answer: 64**

**Example 2:**

**What is the square of the sum of two numbers 4 and 7?**

**Solution:**

**Formula: (a + b) ^{2} = a^{2} + b^{2} + 2ab.**

**(4 + 7) ^{2} = 4^{2} + 7^{2} + 2 * 4 * 7**

**(4 + 7) ^{2 }= 16 + 49 + 56 = 121**

**(4 + 7) ^{2} = 121**

**Answer: The Square of the sum of two numbers 4 and 7 is 121.**

**Another Method:**

**Step 1: First sum the given two numbers 4 and 7.**

**4 + 7 = 11**

**Step 2: Square the sum of the given two numbers.**

**11 ^{2} = 11 × 11 = 121**

**Answer: 121**

**Practice Problem – Square of the Sum of Two Numbers:**

**1. What is the square of the sum of two numbers 4 and 9?**

**Answer: 169**

**2. What is the square of the sum of two numbers 2 and 7?**

**Answer: 81**