(2x + 5y)^2 + (2x -5y)^2
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Answer:
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Answered by
2
Answer:
8x² + 50y²
Step-by-step explanation:
In (2x +5y)² + (2x - 5y)²
(2x+5y)²= (a+b)² = (a² +2ab + b²)
= (2x)² + 2 ×2x × 5y + (5y)²
= 4x² + 40xy + 25y²
(2x-5y)² = (a-b)² = (a² - 2ab + b²)
= (2x)² - 2 ×2x × 5y + (5y)²
= 4x² - 40xy + 25y²
In (2x +5y)² + (2x - 5y)²
(4x² + 40xy + 25y²)+ (4x² - 40xy + 25y²)
= 4x² +40xy +25y² + 4x² - 40xy + 25y²
= 8x² + 50y²
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