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Question

asked Jul 8, 2022 160k views

1 Answer

Gavin Gilmour · Answer 1 · 2022-07-15T05:32:49+0000

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
.