Question

Evaluate (11)² using which identity?

Answer 1

Step-by-step explanation:

Here is your answer

(11)^2

By identity

(a + b) = a^ +2(a)(b) + b^2

=(10 + 1)^2

=(10)^2 + 2(10)(1) + (1)^2

= 100 + 20 + 1

= 121

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Answer 2

Given

Evaluate (11)² using identity

Solution

✒ We can solve by applying two Identities

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

➠ (12 - 1)²

➠ (12)² + (1)² - 2 × 12 × 1

➠ 144 + 1 - 24

➠ 145 - 24

=> 121

• Second identity (a + b)²=a² +b²+ 2ab

➠ (10 + 1)²

➠ (10)² + (1)² + 2 × 10 × 1

➠ 100 + 1 + 20

➠ 101 + 20

➠ 121

Some identities

• a² - b² = (a + b)(a - b)
• a³ - b³ = (a - b)(a² + ab + b²)
• a³ + b³ = (a + b)(a² - ab + b²)