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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 ...

To create a free body diagram, first you need to identify a body you are intrested in. Do you have it ? Great! Now lets draw this body isolated. I mean you don't want to include any object in its surrodin...