Question

2 X + 3 y whole square​

Answer 1

Here you go....

(2x + 3y) ^2

Using the identity.....

(a²+b²+2ab)

= (2x)^2 + (3y) ^2 + 2× 2x × 3y

= 4x^2 + 9y^2 + 12xy

Answer 2

(2x + 3y)² = 4x² + 9y² + 12xy    

Given:

2x+ 3y whole square​

To find:

Find the (2x + 3y)²

Solution:

Algebraic identities:

A mathematical expression made up of numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, etc. called an algebraic identity. These identities are true for all the values ​​of the variables

From Algebraic identities,

(a + b)² = a² + b² + 2ab  

Given problem is (2x + 3y)²  

Take a = 2x and b = 3y

Now apply the formula (a + b)² = a² + b² + 2ab as shown below

=>  (2x + 3y)² = (2x)² + (3y)² + 2(2x) (3y)

As we know 2² = 4 and 3² = 9

=>  (2x + 3y)² = 4x² + 9y² + 12xy

Therefore,

(2x + 3y)² = 4x² + 9y² + 12xy  

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