🧮 algebra

1. **State the problem:** Simplify the expression $2\{3(a+2b)+(c+d-4)\}+5$. 2. **Apply the distributive property inside the braces:**

1. **State the problem:** Expand and simplify the expression $ (z + 4)(z - 2) $. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by

1. **State the problem:** We are given the polynomial function $$P(x) = -2x^3 + 8x^2 - 8x + 32$$ and asked to find its real root(s), i.e., the value(s) of $$x$$ for which $$P(x) =

1. **State the problem:** Expand and simplify the expression $$(y - 3)(y - 6)$$. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by

1. **State the problem:** Expand and simplify the expression $$(x + 6)(x + 4)$$. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by

1. **State the problem:** We want to understand the function $$y = 1 + \frac{1}{2 - |x|} - \frac{1}{2}$$ and how it behaves. 2. **Recall the absolute value:** The absolute value $|

1. The problem is to analyze the function shown in the video link, which is $y = x^2 - 4x + 3$.\n\n2. The formula for a quadratic function is $y = ax^2 + bx + c$. Here, $a=1$, $b=-

1. You mentioned sending a video about complex numbers for analysis. 2. I can help explain and analyze complex numbers based on the content you provide.

1. The problem is to understand what surds are and how to simplify them. 2. A surd is an irrational root that cannot be simplified to remove the root. For example, $\sqrt{2}$ is a

1. The problem states that $y$ is proportional to $x^2$, which means we can write the relation as: $$y = kx^2$$

1. Masalah: Tentukan titik puncak dari fungsi kuadrat $f(x) = x^2 + 2x - 3$. 2. Rumus titik puncak fungsi kuadrat $f(x) = ax^2 + bx + c$ adalah di titik $x = -\frac{b}{2a}$.

1. Masalah: Tentukan titik puncak dari fungsi kuadrat $f(x) = x^2 + 2x - 3$. 2. Rumus titik puncak fungsi kuadrat $f(x) = ax^2 + bx + c$ adalah di titik $x = -\frac{b}{2a}$.

1. **State the problem:** Solve the equation $$2^{3x-3} = 10(1-2^{4x+1})$$. 2. **Rewrite the equation:** The equation is $$2^{3x-3} = 10 - 10 \cdot 2^{4x+1}$$.

1. The problem is to solve the equation given by the user, but since no specific equation was provided, let's consider a general approach to solving algebraic equations. 2. The gen

1. **Problem:** We want to enclose a rectangular field with 500 m of fencing, using one side as a building (no fence needed on that side). Find the dimensions that maximize the enc

1. The problem is to solve the equation or system of equations given by "al qs". However, "al qs" is unclear and does not specify a mathematical problem. 2. Since the problem state

1. **State the problem:** Solve the equation $$2^{3x-3} = 10(1-2^{4x+1})$$. 2. **Rewrite the equation:** The equation is $$2^{3x-3} = 10 - 10 \cdot 2^{4x+1}$$.

1. **State the problem:** Factorise the expression $9 - 4n^2$. 2. **Recognize the formula:** This is a difference of squares, which follows the rule:

1. **State the problem:** Factorise fully the expression $$32p^2 x^3 - 2s^2 x^3$$. 2. **Identify common factors:** Both terms have a factor of $$2x^3$$.

1. **State the problem:** Factorise fully the expression $$45x^2y - 5yz^2$$. 2. **Identify common factors:** Both terms have a common factor of $$5y$$.

1. **State the problem:** Simplify the expression $80p^{2} - 45s^{2}$ by factoring. 2. **Identify the formula:** This is a difference of squares problem if it can be expressed as $