Question

using the identity for square of a binomial evaluate (59)^2​

Answer 1

Step-by-step explanation:

use (60 - 1) ^2

by binomial expansion

Answer 2

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Find the square of 59 using identity.

$\star\:\:\:\sf\large\underline\blue{Solution:-}$

$\sf {59}^{2}$

$= \sf {(60 - 1)}^{2}$

$\sf = {60}^{2} + {1}^{2} - 2 \times 60 \times 1$

$\sf = 3600 + 1 - 120$

$\sf = 3481$

Hence,

$\boxed{ \sf {59}^{2} = 3481}$

Identity used:-

$\boxed{ \sf {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }$