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The perfect tense (simple past) is used to describe a completed action. It is formed by an auxiliary verb (either être or avoir) and a past participle. 

The imperfect is used to describe an action ...

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