pls solve this question
(6x+ 5y) (6x+5y)
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Answer:
36x² + 25y² + 60xy
Step-by-step explanation:
#Method 1
(6x+ 5y) (6x+5y)
=> (6x+ 5y)²
By using the identity (a + b)² = a² + b² + 2ab
=> (6x)² + (5y)² + 2(6x)(5y)
=> 36x² + 25y² + 60xy
#Method 2
(6x+ 5y) (6x+5y)
=> 6x (6x+ 5y) + 5y(6x+ 5y)
=> 36x² + 30xy +30xy + 25y²
=> 36x² + 25y² + 60xy
Some more identities :
(a - b)² = a² + b² - 2ab
(a + b)² = a² + b² + 2ab
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
(a + b)³ = a³ + b³ + 3a²b + 3ab²
(a - b)³ = a³ - b³ - 3a²b + 3ab²
a³ + b³ = (a + b) (a² - ab + b²)
a³- b³ = (a - b) (a² + ab + b²)
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