🧮 algebra

1. **تبسيط العبارة الأولى**: المطلوب تبسيط التعبير $ (n - 9)(n + 7) $.

1. نبدأ بتعريف كثيرة الحدود: كثيرة الحدود هي تعبير جبري يتكون من مجموع حدود تحتوي على متغيرات مرفوعة إلى أسس صحيحة غير سالبة، مع معاملات عددية. 2. نحلل كل عبارة:

1. نبدأ بكتابة العبارة المعطاة: $$(-4a^2 b^4)(2a^3 b^{-2})$$ 2. نستخدم خاصية ضرب العوامل: نضرب الأعداد ونجمع الأسس للمتغيرات المتشابهة.

1. The problem is to simplify the expression $-15 - (-8)$. 2. Recall that subtracting a negative number is the same as adding its positive counterpart. So, $-15 - (-8)$ becomes $-1

1. **تمرين 1** **المعطيات:**

1. State the problem: Evaluate the expression $\frac{5395488948-56649}{86954989} \times 54569 + 5458$. 2. Calculate the numerator of the fraction: $5395488948 - 56649 = 5395432299$

1. The problem is to evaluate the expression $1+1\times1+12\times54\times2454+*456*4+*564*545-456476+4+645454/4654646614$. 2. Notice that the expression contains invalid syntax wit

1. The problem is to simplify the expression $\frac{36}{-3}$.\n\n2. Division of a positive number by a negative number results in a negative number.\n\n3. Calculate the absolute va

1. Problem: Convert the fractions $\frac{3}{4}$, $\frac{9}{50}$, $\frac{7}{100}$, $\frac{29}{20}$ to decimal form. Step 1: Divide numerator by denominator for each fraction.

1. The problem is to multiply two integers: $-24$ and $-8$. 2. Recall that multiplying two negative numbers results in a positive number.

1. The problem asks us to identify which numbers from the list \(4, 6, 8, 11, 12, 15, 16, 25\) are powers of 2. 2. A number is a power of 2 if it can be written as \(2^n\) where \(

1. The problem is to simplify the expression $\frac{1}{i^{199}}$ where $i$ is the imaginary unit with the property $i^2 = -1$. 2. Recall the powers of $i$ cycle every 4 steps:

1. The problem is to simplify or understand the expression $\frac{1}{ix^{199}}$. 2. Here, $i$ is the imaginary unit where $i^2 = -1$, and $x^{199}$ is $x$ raised to the 199th power

1. The problem is to simplify the expression $-58 / -2$. 2. Division of two negative numbers results in a positive number.

1. The problem is to simplify the expression $\frac{1}{i^2}$.\n\n2. Recall that $i$ is the imaginary unit, defined by $i^2 = -1$.\n\n3. Substitute $i^2$ with $-1$ in the expression

1. The problem is to multiply two numbers: $-24$ and $-6$. 2. When multiplying two negative numbers, the result is positive.

1. **State the problem:** We have an arithmetic sequence where the first term $a_1=2$ and the fifth term $a_5=18$. We need to find the sixth term $a_6$. 2. **Recall the formula for

1. **State the problem:** We are given a green line segment approximately passing through points (0,9) and (9,4). We need to find the slope of this original line and then find the

1. The problem is to multiply 17 by -3. 2. Multiplication of a positive number by a negative number results in a negative number.

1. The problem states that the first term $a_1$ of a geometric sequence is 2 and the second term $a_2$ is 6. 2. Recall that in a geometric sequence, each term is found by multiplyi

1. **State the problem:** We are given two lines on a coordinate plane. We need to find the slope of the original line (green) and the slope of a line perpendicular to it (blue). 2