Question

Evaluate with identity:185×185-15×15

Answer 1

Step-by-step explanation:

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Answer 2

Given:

A mathematical expression 185×185-15×15.

To Find:

The value of the expression using mathematical identities.

Solution:

The given problem can be solved using algebraic identities.

1. The identity used to solve the given problem is,

• a² - b² = (a+b)(a-b)

2. The given expression is 185×185-15×15 which is of the form a² - b², where a = 185 and b = 15.

=> Solve the expression using the above identity,

=> 185×185-15×15,

=> 185² - 15² = (185+15)(185-15),

=> 185² - 15² = 200 x 170,

=> 185² - 15² = 34000.

Therefore, the value of 185×185-15×15 is 34000.