Question

\left(a+b\right)^2 hihihihihiihihihihihih

Answer 1

Consider, we need to find the expanded form of the given expression.

Given:

The expression is:

$\left(a+b\right)^2$

To find:

The expanded form of the given expression.

Solution:

We have,

$\left(a+b\right)^2$

It can be written as:

$\left(a+b\right)^2=(a+b)(a+b)$

Using distributive property of multiplication over addition, we get

$\left(a+b\right)^2=a(a+b)+b(a+b)$

$\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)$

$\left(a+b\right)^2=a^2+ab+ab+b^2$

$\left(a+b\right)^2=a^2+2ab+b^2$

Therefore, the expanded form of the given expression is $a^2+2ab+b^2$.