🧮 algebra

1. **State the problem:** Factor the expression $x^2$. 2. **Understand the expression:** $x^2$ means $x$ multiplied by itself: $x \times x$.

1. The problem is to factor the expression $x^2 - 9$. 2. Recognize that this is a difference of squares, which follows the formula $a^2 - b^2 = (a - b)(a + b)$.

1. **State the problem:** Simplify and add the expressions $$\frac{16x^2 - 8x + 1}{9x} + \frac{12x + 3}{1 - 16x^2}$$. 2. **Identify the formula and rules:** To add fractions, find

1. The problem involves evaluating the expression $5x^3 - 3x^2 - 2(x - 10)^2$ at $x = -2$ and understanding the calculation steps. 2. The formula used is substitution into the poly

1. The problem is to factor the expression $x^2 - 9$. 2. Recognize that this is a difference of squares, which follows the formula $a^2 - b^2 = (a - b)(a + b)$.

1. The problem is to simplify or factor the expression $x^2 - 9$. 2. Recognize that $x^2 - 9$ is a difference of squares, which follows the formula $a^2 - b^2 = (a - b)(a + b)$.

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. The problem is to factor the expression $x^2 - 9$. 2. Recognize that this is a difference of squares, which follows the formula $a^2 - b^2 = (a - b)(a + b)$.

1. The problem is to factor the expression $x^2 - 4$. 2. Recognize that this is a difference of squares, which follows the formula $a^2 - b^2 = (a - b)(a + b)$.

1. The problem is to analyze the function $x^2 - 4$. 2. This is a quadratic function in the form $f(x) = ax^2 + bx + c$ where $a=1$, $b=0$, and $c=-4$.

1. The problem is to analyze the function $x^2 - 4$. 2. This is a quadratic function in the form $f(x) = ax^2 + bx + c$ where $a=1$, $b=0$, and $c=-4$.

1. **State the problem:** Factor the quadratic expression $x^2 - 4$. 2. **Recall the formula:** This expression is a difference of squares, which follows the rule:

1. **State the problem:** Factor the expression $x^2$. 2. **Recall the factoring rules:**

1. **State the problem:** Calculate $$\frac{13!}{720} - 89^3 + \sqrt{473926185} - 18294637$$. 2. **Recall factorial and exponentiation:**

1. **State the problem:** Calculate the value of $$73^5 + \sqrt{987654321} - \frac{293847 \times 476}{1829} + 37^4$$. 2. **Recall formulas and rules:**

1. We are given the system of equations: $$3x + 8y = 12 \quad (1)$$

1. **State the problem:** Solve the system of linear equations: $$5x - y = 18 \quad (1)$$

1. **State the problem:** We need to find the unit cost when the total cost for 3 items is 25. 2. **Formula:** The unit cost is calculated by dividing the total cost by the number

1. **State the problem:** Solve the equation $5x = x + 12$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Solve for $x$ in the equation $5x = xc + 12$. 2. **Rewrite the equation:** The equation is $5x = xc + 12$.

1. **State the problem:** Simplify the expression $$\frac{9m(m - 3)}{m - 5} \div \frac{12mp}{(m - 5)(p + 7)}$$ and express the answer as a fraction in simplest form. 2. **Rewrite t