🧮 algebra

1. The problem is to simplify the expression $w + w$. 2. Since both terms are the same variable $w$, we can combine them by addition.

1. **State the problem:** Simplify the expression $$\frac{5a^3}{4x^2y^2} \times \frac{2c^3x}{3ab^2} \div \frac{5a^2c^2}{6b^2xyz}$$. 2. **Rewrite the division as multiplication by t

1. The problem is to solve the equation $60 + \text{———} = 70$ where the missing number is unknown. 2. To find the missing number, we can rewrite the equation as $60 + x = 70$, whe

1. The problem is to solve the equation $23 + \_ = 27$ where the blank represents an unknown number. 2. To find the unknown number, subtract 23 from both sides of the equation:

1. The problem is to factorise an algebraic expression, but since no specific expression was given, let's explain the general process of factorisation. 2. Factorisation means expre

1. Állítsuk fel az eredeti függvényt: $$y = x^2 - 2x - 3$$. 2. Az inverz függvény megtalálásához cseréljük fel az $x$ és $y$ változókat: $$x = y^2 - 2y - 3$$.

1. Solve the inequality $$-6x^2 + 5x + 6 < 0$$. 2. First, find the roots of the quadratic equation $$-6x^2 + 5x + 6 = 0$$ by using the quadratic formula:

1. **State the problem:** Factorise the expression $3b + 18$. 2. **Identify common factors:** Both terms $3b$ and $18$ have a common factor of $3$.

1. The problem is to fully factorise the quadratic expression $h^2 + 7h + 12$. 2. We look for two numbers that multiply to $12$ (the constant term) and add to $7$ (the coefficient

1. সমস্যাটি হলো: $x + y = \sqrt{3}$ এবং $x^2 - y^2 = \sqrt{6}$ দেওয়া আছে, আমাদের $16xy(x^2 + y^2)$ এর মান নির্ণয় করতে হবে। 2. প্রথমে, $x^2 - y^2$ কে ফ্যাক্টরাইজ করা যায়: $$x^2 -

1. **Énoncé du problème 1 (Exercice 22)** : On considère la fonction $f : [1, +\infty[ \to \mathbb{R}$ définie par

1. **State the problem:** Simplify the expression $$(3a - 1)^2 + 4(3a - 1).$$ 2. **Expand the square:** Use the formula $$(x - y)^2 = x^2 - 2xy + y^2$$ with $x = 3a$ and $y = 1$.

1. The problem is to analyze the quadratic expression $h^2 + 7h + 12$. 2. First, we factor the quadratic expression by finding two numbers that multiply to 12 and add to 7. These n

1. Let's create a practice problem similar to a common algebraic equation. 2. Problem: Solve for $x$ in the equation $$2x + 5 = 15$$.

**Exercice N°12 BFEM 2011** 1. Montrer que $m$ est négatif.

1. The problem is to fully factorise the quadratic expression $x^2 + 7x + 6$. 2. To factorise a quadratic of the form $x^2 + bx + c$, we look for two numbers that multiply to $c$ a

1. **State the problem:** Fully factorise the quadratic expression $x^2 + 7x + 6$. 2. **Identify coefficients:** The quadratic is in the form $ax^2 + bx + c$ where $a=1$, $b=7$, an

1. **Stating the problem:** We have three bracketed numbers arranged in a pattern with numbers before, after, above, and below each bracketed number. The first two bracketed number

1. The problem is to factorize the quadratic expression $$f^2 + 7f + 10$$ into the form $$(f + a)(f + b)$$ where $a$ and $b$ are numbers to be found. 2. To factorize, we look for t

1. The problem asks us to find the number that completes the factorization of the quadratic expression $x^2 + 4x + 3$ in the form $(x + 1)(x + \_\_).$ 2. Start by expanding the rig

1. The problem states that the curve crosses the x-axis at (2,0), touches it at (-4,0), and crosses the y-axis at (0,-32). 2. Since the curve touches the x-axis at x = -4, this roo