The algebraic expression after combining the like terms is
c² - 6c + 4cx - 7x + 1 .
An algebraic expression is a combination of constants, variable and coefficients in such a way that they form several terms in the form of a multi-variable polynomial.
A simple algebraic expression is given by :
3x+4y+2xy-9.
This algebraic expression contains four separate terms where x and y are variables , 3 and 4 and 2 are coefficients and 9 is a constant.
The given algebraic expression is:
-6c+c²-6x+4cx-x+1
To combine all the like terms we separate the variables and the constants.
or, c² - 6c + 4cx - 6x - x + 1
or, c² - 6c + 4cx - 7x + 1
Hence the required simplified expression is given by :
c² - 6c + 4cx - 7x + 1
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