Factorize 35m^2n +5mn -30n
using middle term

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shelbellingswo

15.06.2021

Mathematics

As James has decided to start saving for a cruise over the summer.

If his money is currently in the local bank, modeled by the function s(x)=102

The function for the extra money he earn = a(x)=8(x+2) , where x is measured in hours.

Now, for the total savings he can combine both the functions, to get a new function f(x) as

$f(x)=s(x)+a(x)\\=102+8(x+2)\\=102+8x+16..\text{[multiply 8 in the parenthesis and simplify]}\\=8x+118.........\text{[add corresponding terms]}\\\Rightarrow\ f(x)=8x+118$

Thus, the simplified function f(x)=8x+118

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Factorize 35m^2n +5mn -30n using middle term