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The subjunctive is a “mood” it demonstrates possibility and is used in certain grammatical structures. There is no pattern to these - you just have to learn them! 

The most common are: purpose clau...

We have a system of n linear equations incorporated by Ax = b, with A being a n x p matrix of numeric coefficients, x being a p-dime...

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x)

when x=0    1=A

when x= 1/3     1=B/3 so B=3

1/(x(1-3x))= 1/x + 3/(1-3x)

(m+3)(m+10)

m² + 3m+ 10m + 30

m² +13m+ 30

Text to be translated: 

Of all the problems that worry teenagers nowadays, it could be said that unemployment is the worst since it often leads to poverty and anti-social behaviour. However, a frie...