Question

Without actual squaring, find the value of : (23)2 - (22)2

Answer 1

SoLuTiOn

$= {23}^{2} - {22}^{2}$

$= (20 + 3 {)}^{2} - (20 + 2 {)}^{2}$

$= ((20 {)}^{2} + {3}^{2} + 2 \times 20 \times 3) - ((20 {)}^{2} + {2}^{2} +2 \times 20 \times2$

$= (400 + 9 + 120) - (400 + 4 + 60)$

$= 529 - 464$

$= 65$

Hope it helps............

Please mark as brainliest answer.

Answer 2

$= ( {23})^{2} - (22 {)}^{2}$

$= (20 + 3 {)}^{2} - (20 + 2 {)}^{2}$

$= (400 + 9 + 120) - (400 + 4 + 60)$

$= 529 - 464$

$= 65$