Simplify (3x+2y)²+(3x-2y)²
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Answer:
2*(9x^2 + 4y^2)
Step-by-step explanation:
(3x+2y)²+(3x-2y)²
= (9x^2 + 12xy +4y^2) + (9x^2 - 12xy + 4y^2)
= 9x^2 + 12xy +4y^2 + 9x^2 - 12xy + 4y^2
12xy cancels out,
= 9x^2 + 9x^2 +4y^2 +4y^2
= 18x^2 + 8y^2
= 2*(9x^2 + 4y^2)
We have, (3x+2y)²+(3x-2y)²
= (3x+2y)² + (3x-2y)²
= 9x² + 4y² + 12xy + 9x² + 4y² - 12xy
= 9x²+9x² +4y²+4y² +12xy-12xy
= 18x² + 8y²
= 2(9x² + 4y²) Answer.