🧮 algebra

1. **State the problem:** Simplify the expression $\frac{a^2}{a}$.\n\n2. **Recall the rule:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a

1. The problem is to simplify the expression $\frac{a}{a}$. 2. The formula used here is the property of division where any non-zero number divided by itself equals 1, i.e., $\frac{

1. **State the problem:** Simplify the expression $x + x \times x^2$. 2. **Recall the order of operations:** Multiplication and exponents are performed before addition.

1. **State the problem:** Simplify the expression $x + x \times x$. 2. **Recall the order of operations:** Multiplication is performed before addition.

1. **State the problem:** Simplify the expression $x + x + x \times x$. 2. **Recall the order of operations:** Multiplication is performed before addition.

1. **State the problem:** Simplify the expression $x + x$. 2. **Recall the rule:** When adding like terms, you add their coefficients.

1. **State the problem:** Simplify the expression $x + x$. 2. **Recall the rule:** When adding like terms, you add their coefficients.

1. The problem: Understand and describe the exponent rules. 2. Exponent rules are formulas that help us simplify expressions involving powers.

1. The problem: Understand and describe the exponent rules. 2. Exponent rules are formulas that help simplify expressions involving powers of numbers or variables.

1. The problem: Understand the basic rules of exponents. 2. Rule 1: Product of powers with the same base

1. **State the problem:** Evaluate the expression $x^2 + 5x$ for $x = 4$. 2. **Formula and rules:** The expression is a quadratic polynomial. To evaluate it, substitute the value o

1. **State the problem:** Evaluate the quadratic expression $x^2 + 5x + 9$ for $x = 2$. 2. **Recall the formula:** The expression is a quadratic polynomial in $x$.

1. **State the problem:** Evaluate the expression $x^2 + 9x + 5$ when $x = 1$. 2. **Write the expression:** The expression is $x^2 + 9x + 5$.

1. **State the problem:** Factor the expression $x^2 - 49$. 2. **Recall the formula:** This is a difference of squares, which follows the rule:

1. The problem is to factor the expression $x^2 - 49$. 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 $x^2 - 16$. 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 or analyze the expression $x^2 - 14$. 2. **Formula and rules:** This is a quadratic expression in the form $ax^2 + bx + c$ where $a=1$, $b=0$, an

1. The problem is to factor the expression $x^2 - 16$. 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:** Factor the expression $x^2 - 16$. 2. **Recall the formula:** This is a difference of squares, which follows the rule:

1. **State the problem:** Factor the expression $x^2 - 16$. 2. **Recall the formula:** This is a difference of squares, which follows the rule:

1. **State the problem:** Given the parabola equation $$(x + 2)^2 = -12(y - 5),$$ find the vertex, focus, endpoints of the latus rectum, and the equation of the directrix. Then ske