How to find the square of the sum of two binomials?

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

= a

= a

= a

Therefore, (a + b)

Square of the sum of two terms = square of 1

This is called the binomial square.

**It
is stated as:** the Square of the binomial (sum of two
unlike term) is the square of the first term plus the square of the second term
plus twice the product of two terms.

Worked-out examples on square of the sum of two binomials:

We know, (a + b)

Here, a = 2x and b = 3y

= (2x)

= 4x

Therefore, (2x + 3y)

105

We know, (a + b)

Here, a = 100 and b = 5

(100 + 5)

= (100)

= 10000 + 25 + 1000

= 11025

Therefore, 105

(10.1)

We know, (a + b)

Here, a = 10 and b = 0.1

(10 + 0.1)

= (10)

= 100 + 0.01 + 2

= 102.01

Therefore, (10.1)

(1/5 x + 3/2 y) (1/5 x + 3/2 y) = (1/5 x + 3/2 y)

We know that (a + b)

Here, a = 1/5 x and b = 3/2 y

= (1/5 x)

= 1/25 x

Therefore, (1/5 x + 3/2 y) (1/5 x + 3/2 y) = 1/25 x

From the above solved problems we come to know square of a number means multiplying a number with itself, similarly, square of the sum of two binomial means multiplying the binomial with itself.

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