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Quadratic equations can be tricky, to begin with, but once you get the hang of them they can become one of the best maths tools on offer to you. All quadratic equations with real roots can be solved with ...

First, we factor out one (x+1). (1+x)^3 = (x+1)^2(x+1)= Then, we expand using the formula (a+b)^2 = a^2 + 2ab +b^2: =(x^2+2x+1)(x+1)= Then we multiply: = x^3 + 2x^2 + x + x^2 + 2x + 1 We sum the terms wit...

3x²+5y+5x(dy/dx)-4y(dy/dx)=0

3x²+5y=(5x-4y)dy/dx

dy/dx=(3x²+5y)/(5x-4y)

Careful with this very common mistake! It may not seem like it will make a big difference, but it can, in fact completely change the meaning of what you are saying. Por is used for: 1) travel and communic...

Passé composé (AVOIR ou ETRE + participe passé) is used for ponctuel actions in the past which have been ended. Ce matin, j’ai mangé une tartine de pain.  On the other hand, imparfait is ...