Question

please solve by using identity (53)²
(93)²
(205)²​

Answer 1

$\underline{\underline{ \huge \red{ \mathfrak{AnSwer}}}}$

i) (53)²

➪ (50 + 3)²

by using identity

• (a + b)² = a² + b² + 2ab

➪ (50)² + (3)² + 2 × 50 × 3

➪ 2500 + 9 + 300

➪ 2809

______________________________

ii) (93)²

➪ (100 - 3)²

by using identity

• (a - b)² = a² + b² - 2ab

➪ (100)² + (3)² - 2 × 3 × 100

➪ 10000 + 9 - 600

➪ 940

______________________________

iii) (205)²

➪ (200 + 5)²

by using identity

• (a + b)² = a² + b² + 2ab

➪ (200)² + (5)² + 2 × 200 × 5

➪ 40000 + 25 + 2000

➪ 42025

Answer 2

$\underline{\underline{ \huge \pink{ \mathfrak{SoluTion}}}}$

i) (53)²

➪ (50 + 3)²

by using identity

• (a + b)² = a² + b² + 2ab

➪ (50)² + (3)² + 2 × 50 × 3

➪ 2500 + 9 + 300

➪ 2809.

______________________________

ii) (93)²

➪ (100 - 3)²

by using identity

• (a - b)² = a² + b² - 2ab

➪ (100)² + (3)² - 2 × 3 × 100

➪ 10000 + 9 - 600

➪ 940.

______________________________

iii) (205)²

➪ (200 + 5)²

by using identity

• (a + b)² = a² + b² + 2ab

➪ (200)² + (5)² + 2 × 200 × 5

➪ 40000 + 25 + 2000

➪ 42025.

THANK YOU!