Question

evaluate using identities 194×206 class 8​

Answer 1

Answer :

• Answer is 39,964

Given :

• 194 × 206

To find :

• Value of expression

Solution :

Given

• 194 × 206

⇢ 194 × 206

⇢ 196 × 206 = (200 -6) × (200 + 6)

We know that

• a² - b² = (a - b) (a + b)

⇢ 194 × 206 = 200² - 6²

⇢ 194 × 206 = 39,964

Hence ,

Answer is 39.964

Answer 2

Step-by-step explanation:

Given: $194 x 206$

To find: The value of the above expression using identities.

To calculate the above expression:

We have $194 x 206$

We know that $a^{2} - b^{2} = (a-b) (a+b)$

To calculate using the above identity:

This means that the above equation can be written as,

⇒ $194 x 206 = (200 - 6) (200 + 6)$ = $a^{2} - b^{2}$

⇒ $(200 - 6) x (200 + 6)$ $= a^{2} - b^{2}$

Thus, by using the above formula,

⇒ $194 x 206 = 200^{2} - 6^{2}$

⇒ $194 x 206 = 40,000 - 36$

⇒ $194 x 206 = 39,964$.

The answer is $39,964.$