Question
Solve using binomial expansion (2×+3y)(2×+3y)
Answers
GPT 3.5
To expand the binomial (2x+3y)(2x+3y) using binomial expansion, we can use the formula:
(a+b)^2 = a^2 + 2ab + b^2
In this case, a = 2x and b = 3y. Using the formula, we get:
(2x+3y)(2x+3y) = (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Therefore, the expanded form of (2x+3y)(2x+3y) is 4x^2 + 12xy + 9y^2.
(a+b)^2 = a^2 + 2ab + b^2
In this case, a = 2x and b = 3y. Using the formula, we get:
(2x+3y)(2x+3y) = (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Therefore, the expanded form of (2x+3y)(2x+3y) is 4x^2 + 12xy + 9y^2.