🧮 algebra

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

1. The problem is to factorise the expression $12x + 8$ by filling in the blanks in $4(__ + __)$. 2. Start by identifying the greatest common factor (GCF) of the terms $12x$ and $8

1. The problem is to factorise the expression $10x + 15$ in the form $\_\_(2x + 3)$. 2. To factorise, we look for a common factor in both terms $10x$ and $15$.

1. The problem is to factorise the expression $$18t + 9$$ by filling in the blanks in $$9(__ + __)$$. 2. First, identify the greatest common factor (GCF) of the terms $$18t$$ and $

1. The problem is to factorise the expression $2x - 10$ in the form $2(__ - __)$. 2. Start by identifying the common factor in both terms $2x$ and $-10$. The common factor is $2$.

1. The problem is to factorise the expression $3x + 12$ by filling in the blanks in $3(__ + __)$. 2. Start by identifying the common factor in both terms $3x$ and $12$. The common

1. The problem is to find the points of intersection between the curves given by the equations $y = x^3$ and $y = 4x$. 2. To find the intersection points, set the two expressions f

1. **State the problem:** Simplify the expression $$(a-3b)(2u-v)+(a-3b)(u+7v)$$. 2. **Factor out the common term:** Notice that $(a-3b)$ is common in both terms, so we factor it ou