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definitely need help with some simple math!

any and all help with the problems below is appreciated, as well as fast replies! 🙂
Factor x^4 + 4 as the product of two quadratic polynomials with integral coefficients

What is the value of x if 4^20 +2^20=2^x

Adjoin the digits 739.. Three more digits so that the resulting number is divisible by 6,7,8,9

If a circular track is 5 meters wide and it takes a horse, traveling its fastest, "pie" more seconds to travel the outer edge than the inner edge, what is the horses speed?

Find a polynomial equation with integral coefficients having x = sq. root 2 + sq. root 3 as one of its roots

How many triangles exist with sides of integral length and a perimeter of 15?

Given 20 couples, how many different 2 member committees can be formed that do not contain any couple?

Express 96 as the difference of 2 squares. 4 different answers are possible.
 
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