Question

Perform the indicated operations. $$(2 x+3 y)^{2}$$

   Perform the indicated operations.
$$(2 x+3 y)^{2}$$

Algebra and Trigonometry

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 0, Problem 33

Instant Answer

Solved by Expert Ankit Gupta

07/04/2020

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We can rewrite this as $(2x+3y)*(2x+3y)$. Show more…

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Perform the indicated operations. $$(2 x+3 y)^{2}$$

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Key Concepts

Distributive Property

The distributive property is a fundamental principle of algebra which states that multiplying a sum by a number is equivalent to multiplying each addend individually by that number and then summing the results. This property is key in expanding expressions where a term is multiplied by a binomial or polynomial.

Binomial Expansion

Binomial expansion is the process of expanding an expression raised to a power, particularly when the expression is a binomial. In the case of a squared binomial, the expansion follows the pattern (a + b)² = a² + 2ab + b², which is a specific instance of the general binomial theorem.

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