Here's how to expand and simplify the expression: Step 1: Write the expression as a product of two binomials. (2x − 3y)² = (2x − 3y)(2x − 3y) Step 2: Distribute each term from the first binomial to the second binomial. = 2x(2x − 3y) − 3y(2x − 3y) Step 3: Multiply the terms. = (2x)(2x) + (2x)(−3y) + (−3y)(2x) + (−3y)(−3y); = 4x² − 6xy − 6xy + 9y² Step 4: Combine the like terms. = 4x² − 12xy + 9y² The final answer is 4x² − 12xy + 9y².

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August 18, 2026Mathematics

ScanSolve AI Answer

Answer

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

Step-by-step solution

4 steps

Here's how to expand and simplify the expression:

Write the expression as a product of two binomials.
$(2x - 3y)^2 = (2x - 3y)(2x - 3y)$
Distribute each term from the first binomial to the second binomial.
$= 2x(2x - 3y) - 3y(2x - 3y)$
Multiply the terms.
$= (2x)(2x) + (2x)(-3y) + (-3y)(2x) + (-3y)(-3y)$ $= 4x^2 - 6xy - 6xy + 9y^2$
Combine the like terms.
$= 4x^2 - 12xy + 9y^2$
The final answer is $4x^2 - 12xy + 9y^2$ .