To get the squares of a binomial, just use (a + b)2 formula. This formula may also be used to factorise certain trinomials. One of the algebraic identities is this formula. The squares of a sum of two components is calculated using (a + b)2 formula. To factorise a binomial, using (a + b)2 equation is commonly employed.

The algebraic identity (a + b)2is used to compute the squares of a sum of two integers. Simply multiply (a + b) (a + b)

(a + b)2=a2 + ab + ba + b2

(a + b)2=a2 + 2ab + b2

## SOLVED EXAMPLES

- Find the value of (3x + 2y)2 using (a + b)2formula.

- The amount of (3x + 2y) must be determined. 2.

Assume that a equals 3x and b equals 2y.

We’ll use the following values in the (a + b)2 equation:

(a + b)2=a2 + 2ab + b2

(3x+2y)= (2y)2+(3x)2+2.2y.3x=4y2+9×2+6xy

- Using the (a + b)2 formula, factorise x2 + 4xy + 4y2.

- x2 + 4xy + 4y2

The given expression may be written as: (x)2 + 2 (x) (2y) + (2y)2

Using the formula (a + b)2:

(a + b) = a2 + 2ab + b2

In this formula, replace a = x with b = 2y:

(x)2 + 2 (x) (2y) + (2y)2 =(x + 2y)2

- Using the (a+b)2 formula, solve the given.

(7x + 4y)2

- 7x and 4y are the values of a and b, respectively.

Using the (a + b)2 formula

(a + b) = a2 + 2ab + b2

49×2 + 56xy + 16y2