Question

Tính nhanh:

a. 101²

b. 97×103

c. 77²+23²+77*46

d.105²-5²

Answer 1

a.\(^{101^2}\)= 10201

b.97 x 103 = 9991

c.\(^{77^2}+^{23^2}+77\times46\)=10000

d.\(^{105^5}-^{5^2}\)= 12762815600

Answer 2

a)  101² = (100 - 1)² = 100² - 200 + 1 = 10000 - 200 + 1 = 9801

b)  97 x 103 = (100 - 3)(100 + 3) = 100² - 3² = 10000 - 9 = 9991

c) 77² + 23² + 77*46 = (77 + 23)² = 100² = 10000

d) 105² - 5² = (105 + 5)(105 - 5) = 110 * 100 = 11000

Answer 3

Tìm x biết:

a. (x-2)²-(x-3)(x+3)=6

b. 4(x-3)²-(2x-1)(2x+1)=10