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Value of (a+b)^2+(a-b)^2 |
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Answer» N :- → (a+b)² + (a-b)² ★ We KNOW , (X+y)² = x² + y² + 2xy(x-y)² = x² + y² - 2xyHere , x = a , y = bPutting values , we GET..→ [ a² + b² + 2ab ] + [ a² + b² - 2ab ]→ a² + b² + 2ab + a² + b² - 2ab→ 2a² + 2b²Hence , (a+b)² + (a-b)² = 2a² + 2b² MORE TO KNOW :- ★ (x+a)(x+b) = x² + (a+b)x + xy★ (x+y)(x-y) = x² - y²★ (x+y)³ = x³ + 3x²y + 3xy² + y³★ (x-y)³ = x³ - 3x²y + 3xy² - y³ |
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