Question

*What is expansion of (m + 2 )²*

1️⃣ 2m² + 4m+4
2️⃣ m² + 2m+4
3️⃣ m² - 4m+4
4️⃣ m² + 4m+4

Answer 1

The expansion of (m + 2)² is m² + 4m + 4

Given :

The expression (m + 2)²

To find :

The expansion of (m + 2)² is

1️⃣ 2m² + 4m + 4

2️⃣ m² + 2m + 4

3️⃣ m² - 4m + 4

4️⃣ m² + 4m + 4

Formula :

(a + b) ² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (m + 2)²

Step 2 of 2 :

Expand the expression

We are aware of the identity that

(a + b) ² = a² + 2ab + b²

Thus we get

$\displaystyle \sf{ {(m + 2)}^{2} }$

$\displaystyle \sf{ = {(m)}^{2} + 2 \times m \times 2 + {(2)}^{2} }$

$\displaystyle \sf{ = {m}^{2} + 4m + 4 }$

So the expansion of (m + 2)² is m² + 4m + 4

Hence the correct option is 4️⃣ m² + 4m + 4

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