Question

14²+2×14×16+16² Решите пожалуйста

Answer 1

Это квадрат суммы двух выражений :

a² + 2 * a * b + b² = (a + b)²

$\displaystyle\bf\\14^{2} +2\cdot 14\cdot 16+16^{2} =(14+16)^{2} =30^{2} =900$

Answer 2

To solve the given expression, let's break it down step by step:

1. Calculate the square of 14: 14² = 14 * 14 = 196. 2. Multiply 2 by 14 and 16: 2 × 14 × 16 = 448. 3. Calculate the square of 16: 16² = 16 * 16 = 256.

Now, let's substitute these values back into the original expression:

14² + 2 × 14 × 16 + 16² = 196 + 448 + 256

Adding these values together, we get:

196 + 448 + 256 = 900

Therefore, the solution to the expression 14² + 2 × 14 × 16 + 16² is 900.

Please let me know if you need any further assistance!