Expand the algebraic expression (3x + 2y)^2.
A9x^2 + 12xy + 4y^2
B9x^2 + 6xy + 4y^2
C9x^2 + 12xy + 2y^2
D6x^2 + 12xy + 4y^2
Answer & Solution
Correct answer: A. 9x^2 + 12xy + 4y^2
Using the formula for squaring a binomial sum yields (3x)^2 + 2(3x)(2y) + (2y)^2 = 9x^2 + 12xy + 4y^2.
Keep practising Algebra: expansions
Browse all Algebra: expansions questions for ICSE Class 9, or explore more Mathematics topics.
Related questions
Match each binomial product with its expansion:Match each special conditional cubic identity with its result:Match each cubic identity with its algebraic expansion:Match each three-variable identity with its expanded polynomial:How many rectangular boxes are formed when a cube of side a + b is cut?Find the simplified expression for the cube of (x - 2).Cubing the binomial (x + 2) yields which polynomial?According to the binomial theorem, what does (x + y)^3 expand to?