Question

what are the formulas of algebraic Identity​

Answer 1

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(a - b)2 = a2 - 2ab + b2

(a + b)(a - b) = a2 - b2

(a + b)3 = a3 +3a2b + 3ab2 + b3

(a - b)3 = a3 - 3a2b + 3ab2 - b3

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac.

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Answer 2

AnswEr :

Some important formulae of algebraic identities are :

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• (a + b) (a - b) = a² + b²

So, let's calculate some questions related to the above algebraic identities to clear the concept!

Q. (7x²y - 3xy) (7x²y - 3xy)

➙ (7x²y - 3xy)²

Identity used :

• (a - b)² = a² + b² - 2ab

➙ (7x²y)² + (3xy)² - 2 × (7x²y) × (3xy)

➙ 49x⁴ y² + 9x²y² - 42x³y²

⠀⠀⠀_________________

Q. (3/7x + 2y)²

Identity used :

• (a + b)² = a² + b² + 2ab

➙ (3/7x)² + (2y)² + 2 × 3/7x × 2y

➙ 9/49x² + 4y² + 12xy/7

⠀⠀⠀_________________

Q. (3x²y - 5) (3x²y + 5)

Identity used :

• (a + b) (a - b) = a² + b²

➙ (3x²y + 5) (3x²y - 5) = (3x²y)² + (5)²

➙ 9x⁴y² - 25

$\large{ \underline{ \pink{ \sf{Note :}}}}$

• When bases are same, then we add up the powers.