Question

solve by using identities 163² - 157²

Answer 1

Here’s your ans, mate.!☺️
Hope it’s help u!

Answer 2

The correct answer to the question is 1920.

The given question will be solved using the following identity;

• An Identity is a mathematical expression that is always true.

• According to the given question, we are expected to calculate firstly the square of 163 and 157 and then subtract them respectively to get the required answer.
• Instead of doing this, we can solve this question easily by the identity,

  $a^{2}-b^{2} = (a+b)(a-b)$

• By making use of this identity, we can get the answer just by multiplying two simple digits as shown below.
• By Substituting in the identity a = 163 and b = 157, we get:

i.e.,   163² - 157² = (163 + 157)(163 - 157)

   ∴   163² - 157² = 320 × 6

   ∴   163² - 157² = 1920.

Thus, the required answer to the question is 1920.

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