Question

I am new user please answer my question.

find (2x+3y)2 using algebraic identities



please solve this..help me.

Answer 1

Algebraic Identify to use:

(a + b)²  = a² + 2ab + b²

Expand (2x+3y)² using the above mentioned identify:

⇒ a = (2x)

⇒ b = (3y)

Expand:

(2x+3y)² = (2x)² + 2(2x)(3y) + (3y)²

                = 4x² + 12xy + 9y²

Answer: 4x² + 12xy + 9y²