Question

1)203²-406·103+103² 2)1,58²+1,58·2,84+1,42² Вычислите(используя формулу a²+2ab+b²=(a+b)², a²-2ab+b²=(a-b)² )

Answer 1

1) 203²-406*103+103²=(203-103)²=10000
2) 1,58²+1,58*2,84+1,42²=(1,58+1,42)²=9

Answer 2

We can simplify the expression using the formula a² - 2ab + b² = (a - b)²:

203² - 406 · 103 + 103² = (203 - 103)² - 406 · 103 = 100² - 406 · 103 = 10000 - 41718 = -31718

Therefore, 203² - 406 · 103 + 103² = -31718.

We can simplify the expression using the formula a² + 2ab + b² = (a + b)²:

1,58² + 1,58 · 2,84 + 1,42² = (1,58 + 1,42)² = 3² = 9

Therefore, 1,58² + 1,58 · 2,84 + 1,42² = 9.