Maths-

General

Easy

Question

# (𝑎 + 𝑏)^{2} =

- 𝑎
^{2} + 𝑏^{2} - 𝑎
^{2} + 𝑎𝑏 + 𝑏^{2} - 𝑎
^{2} + 2𝑎𝑏 + 𝑏^{2} - 𝑎
^{2} − 𝑎𝑏 + 𝑏^{2}

^{2}+ 𝑏^{2}^{2}+ 𝑎𝑏 + 𝑏^{2}^{2}+ 2𝑎𝑏 + 𝑏^{2}^{2}− 𝑎𝑏 + 𝑏^{2}Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

## The correct answer is: 𝑎^{2} + 2𝑎𝑏 + 𝑏^{2}

### (a+ b)^{2} can be written as (a + b)(a + b)

(a + b)(a + b) = a(a + b) + b(a + b)

= a(a) + a(b) + b(a) + b(b)

= a^{2} + ab + ab + b^{2}

= a^{2} + 2ab + b^{2}

Final Answer:

The simplified value of (𝑎 + 𝑏)^{2} is 2ab + b^{2}. Hence, option c is correct.

^{2}+ ab + ab + b

^{2}

^{2}+ 2ab + b

^{2}

Final Answer:

The simplified value of (𝑎 + 𝑏)

^{2}is 2ab + b

^{2}. Hence, option c is correct.

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