Question

use suitable identities and find the values of the following 207×208​

Answer 1

Step-by-step explanation:

$(x + a) \times (x + b) = {x}^{2} + x(a + b) + ab$

$(200 + 7) \times (200 + 8) = 40000 + 200(7 + 8) + 56 = 40000 + 3000 + 56 = 43056$

Answer 2

Answer -

207 × 208 = 43,056

Identity used -

(x + a) (x + b) = x² + ax + bx + ab

Explanation -

• 207 = 200 + 7
• 208 = 200 + 8

So,

207 × 208

= (200 + 7) (200+ 8)

This calculation can be solved using the identity -

(x + a) (x + b) = x² + ax + bx + ab

Where,

• x = 200
• a = 7
• b = 8

By replacing the values we get -

(200 + 7) (200 + 8)

= (200)² + (200 × 7) + (200 × 8) + (7 × 8)

= 40,000 + 1,400 + 1,600 + 56

= 43,056

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