Answer:
a) Put x=10, then the both terms will be same.
b) (2x+3) and 23
c) (2x+3) is a general term for all values of x and 23 is a particular value for x=10
Step-by-step explanation:
a) Considering the following two fractions (4x²+8x+3)/(2x+1) and 483/21, they are equivalent to each other for the value of x =10.
Therefore, if you put x=10 in the fraction (4x²+8x+3)/(2x+1), then it will become 483/21. (Answer)
b) The quotient of the fraction (4x²+8x+3)/(2x+1) will be obtained by as follows:
(4x²+8x+3)/(2x+1) {By factorizing the numerator}
=(4x²+6x+2x+3)/(2x+1)
=(2x+3)(2x+1) / (2x+1)
=2x+3
Again, the quotient of the fraction 483/21 =23 (Answer)
c) Again, if you put the value of x =10 in the quotient (2x+3), then it will result 23. Therefore, (2x+3) is a general term which is valid for all the real values of x and 23 is a particular value for x=10. (Answer)
