This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
a) احسب (Calculate) The question asks to calculate for the numbers 2 and 6. Assuming it asks for the Least Common Multiple (LCM) of 2 and 6. Step 1: Find the prime factorization of each number. 2 = 2^1 6 = 2^1 × 3^1 Step 2: Determine the LCM by taking the highest power of all prime factors present. LCM(2, 6) = 2^1 × 3^1 = 6 The LCM of 2 and 6 is 6. b) بسط (Simplify) 1. Simplify (8)/(5). Step 1: Identify common factors between the numerator and the denominator. The prime factors of 8 are 2 × 2 × 2. The prime factors of 5 are 5. There are no common prime factors other than 1. The fraction is already in its simplest form. The simplified expression is (8)/(5). 2. Simplify (n)/(n-2) with the condition (n < 2). Step 1: Identify common factors between the numerator and the denominator. The numerator is n. The denominator is (n-2). These two terms do not share any common factors. The expression is already in its simplest form. The condition n < 2 ensures that the denominator n-2 ≠ 0. The simplified expression is (n)/(n-2). 3. Simplify (n+2)/(n^2-1) with the condition (n < 1). Step 1: Factor the denominator. The denominator n^2-1 is a difference of squares, which factors as (n-1)(n+1). n^2-1 = (n-1)(n+1) Step 2: Rewrite the expression with the factored denominator. (n+2)/((n-1)(n+1)) Step 3: Identify common factors between the numerator and the denominator. The numerator is (n+2). The factors in the denominator are (n-1) and (n+1). There are no common factors. The expression is already in its simplest form. The condition n < 1 ensures that the denominator (n-1)(n+1) ≠ 0. The simplified expression is (n+2)/((n-1)(n+1)). أرسل لي السؤال التالي 📸