Question

102 x 99 using the (x+a) (x+b)

Answer 1

Hey mate your answer to the question is
= (100 + 2) ×(100+ (-1))
= 100^2 + 2 + (-1) ×100 +2× (-1)
= 10000 + 100 -2
= 10100 - 2
= 10098.(answer)
hope it helps you.

Answer 2

Hey mate!

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Given :

102 × 99

Solution :

It can be written as ;

(100 + 2) × (100 - 1)

So, using identity;

(x + a) (x - b) = x² - bx + ax - ab

Here,

x = 100,

a = 2

b = 1

Now,

(100 + 2) × (100 - 1)

⇒(100)² - 100 + 200 - 2

⇒ 10000 + 100 - 2

⇒ 10100 - 2

⇒ 10098

Hence,

The answer is 100098.

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Thanks for the question !

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