Question

Дробь: 47²-3² 27²+2×27×13+13²

Answer 1

47² - 3² = (47 - 3)(47 + 3) = 44 * 50 = 2200,

27² + 2*27*13 + 13² = (27 + 13)² = 40² = 1600

Answer 2

To calculate the value of the fraction, you need to perform the operations in the numerator and denominator separately.

Numerator: 47² - 3² = 2209 - 9 = 2200

Denominator: 27² + 2 × 27 × 13 + 13² = 729 + 702 + 169 = 1600

Now, the fraction becomes:

2200 / 1600

To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by that value. In this case, the GCD of 2200 and 1600 is 200.

Dividing both the numerator and denominator by 200, we get:

(2200 ÷ 200) / (1600 ÷ 200) = 11 / 8

So, the value of the fraction is 11/8.