Question

(37²-23²):(37²-2*37*23+23²)

Answer 1

$\frac{37 {}^{2} - 23 {}^{2}}{37 {}^{2} - 2 \times 37 \times 23 + 23 {}^{2}} =\frac{(37 - 23)(37 + 23)}{(37 - 23) {}^{2} }=\frac{37 + 23}{37 - 23} =\frac{60}{14} = \frac{30}{7}$

Answer 2

To simplify the expression (37² - 23²) : (37² - 2 * 37 * 23 + 23²), follow these steps:

Step 1: Calculate the values inside each set of parentheses: 37² = 37 * 37 = 1369 23² = 23 * 23 = 529 2 * 37 * 23 = 1706

Step 2: Substitute the values into the expression: (1369 - 529) : (1369 - 1706 + 529)

Step 3: Perform the operations inside the parentheses: (840) : (1192)

Step 4: Divide the result: 840 / 1192 ≈ 0.7047

So, the simplified value of the expression is approximately 0.7047.