(3x+2y)² + (3x-2y)² simplify using the identity
Question
(3x+2y)² + (3x-2y)² simplify using the identity
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Solution
Sure, let's simplify the expression using the identity.
The given expression is (3x+2y)² + (3x-2y)².
Let's simplify it step by step:
Step 1: Expand the squares
= (9x² + 12xy + 4y²) + (9x² - 12xy + 4y²)
Step 2: Combine like terms
= 9x² + 9x² + 12xy - 12xy + 4y² + 4y²
Step 3: Simplify
= 18x² + 8y²
So, (3x+2y)² + (3x-2y)² simplifies to 18x² + 8y².
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