The sum of two numbers is 40. if l is the larger number, express the product of the two numbers in terms of l

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   Ans    = 40L - L²

Step-by-step explanation:

Let the L be the larger number and S the smaller number

the sum of two numbers is 40 can be represented as:

L + S = 40(1)

From (1), make S subject of formula:

S = 40 - L(2)

express the product of the two numbers in terms of L

product of the two numbers = L*S

Substituting S = 40 - L from (2)

L*S = L (40-L)

       = 40L - L²

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this