Question

Evaluate the following product using suitable identity: 213×187

Answer 1

213 = 200+13. , 187=200-13
A.T.Q = (200)^2 - (13)^2
= 40000-169
= 39831

Answer 2

Answer:

The value of the expression is 39831.

Step-by-step explanation:

Given : Expression $213\times 187$

To find : Evaluate the following product using suitable identity?

Solution :

We can re-write 213=200+13 and 187 =200-13

$213 \times 187 = (200 + 13) \times (200 - 13)$

Using identity,

$(x + y)(x - y) = x {}^{2} - y {}^{2}$

where, x=200 and y=13

$(200 + 13) \times (200 - 13) = (200) {}^{2} - (13) {}^{2}$

$213\times 187 = 40000 - 169 = 39831$

Therefore, The value of the expression is 39831.