Question

Question:Find the square of the following.
i) 3b+2c
Solution:-
Using the formula (a+b)2

Answer 1

Answer:

9b²-12bc-4c²

Step-by-step explanation:

(a-b)(a+b)

(3b-2c)(3b+2c)

9b²-6bc-6bc-4c²

9b²-12bc-4c²

Answer 2

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We know that,

⇝ (a + b)² = a² + b² + 2ab

Using the above identity, we get

⇝ (3b + 2c)²

⇝ 3b² + 2c² + 2 × 3b × 2c

⇝ 9b² + 4c² + 12bc

Some Identities :

⇝ (a + b)² = a² + b² + 2ab (Used Here)

⇝ (a - b)² = a² + b² - 2ab

⇝ (a² - b²) = (a + b)(a - b)

⇝ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

⇝ (a + b)³ = a³ + b³ + 3ab(a + b)

⇝ (a - b)³ = a³ - b³ - 3ab(a - b)

⇝ (a³ + b³) = (a + b)(a² - ab + b²)

⇝ (a³ - b³) = (a - b)(a² + ab + b²)

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