🧮 algebra

1. Vamos fatorar completamente a expressão dada: $ (2x + 1)^7 + 4x(x + 1) + 2 $. 2. Primeiro, observe que $ (2x + 1)^7 $ é um termo elevado a uma potência ímpar, e os outros termos

1. O problema pede para transformar a expressão $ (2x + 1)^7 + 4x(x+1) + 2 $ em uma equação do segundo grau. 2. Note que $ (2x + 1)^7 $ é um polinômio de grau 7, que não pode ser r

1. The problem is to show how to graph the answer to a math problem. 2. To graph a function, you first need the function's equation.

1. O problema é fatorar e deixar em forma de equação do segundo grau. 2. A forma geral de uma equação do segundo grau é $$ax^2 + bx + c = 0$$, onde $a$, $b$ e $c$ são números reais

1. **State the problem:** Graph the inequality $y > x + 2$. 2. **Understand the boundary line:** The boundary line is given by the equation $y = x + 2$.

1. **Planteamiento del problema:** Factorizar completamente la expresión $$ (2x + 1)^7 + 4x(x+1) + 2 $$. 2. **Observamos la expresión:** Tiene un término elevado a la séptima poten

1. **State the problem:** Tony needs to watch the class for 12 minutes and Jan needs to watch the class for 8 minutes. The class needs to be watched for 20 minutes each day. We wan

1. The problem asks for the value of the function $f(x)$ at $x = -1$ based on the given table. 2. The table shows pairs of $x$ and $f(x)$ values:

1. **State the problem:** We are given a function $f(x)$ with roots at $x = -2.5$, $x = -0.75$, and $x = 0.75$, a peak at $(0, 2)$, and a minimum at approximately $(-1.9, -5.7)$. W

1. O resumo é sobre álgebra básica e resolução de equações. 2. Álgebra envolve manipular expressões e resolver equações para encontrar valores desconhecidos.

1. The problem states that Marc’s family plans to drive a total distance of 150 miles at an average speed of 30 miles per hour. 2. Marc creates the expression $$150 - 30h$$ where $

1. The problem is to expand and simplify the expression $$(x - 4y)^5$$ using the binomial theorem. 2. The binomial theorem states that for any positive integer $n$:

1. **State the problem:** Expand and simplify the expression $$(x - 4y)^5$$ using the binomial theorem. 2. **Recall the binomial theorem formula:**

1. **State the problem:** Expand and simplify the expression $$(x - 4y)^5$$ using the binomial theorem. 2. **Recall the binomial theorem formula:**

1. The problem is to simplify the given expression. 2. To simplify an expression, we combine like terms, factor where possible, and reduce fractions.

1. **State the problem:** Simplify the expression using logarithmic and exponential properties: $$5 \log 10^{-7} - 3 \ln \sqrt{e^6}$$ 2. **Recall the properties:**

1. **State the problem:** Expand the expression $2q(7y - 9q - 8)$. 2. **Formula and rules:** Use the distributive property: $a(b + c + d) = ab + ac + ad$. Multiply each term inside

1. **State the problem:** Expand the expression $$2p(7y - 7p - 5)$$. 2. **Formula and rules:** Use the distributive property, which states that $$a(b + c + d) = ab + ac + ad$$. Her

1. **State the problem:** Solve the equation $$2x^2 - 28x = -58$$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. **State the problem:** We are given the expression $150 - 30h$ which represents the remaining distance after traveling at 30 miles per hour for $h$ hours from an initial distanc

1. **State the problem:** Solve the quadratic equation $4x^2 - 3 = 12x$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero: