Find the difference of 12x−52x+3 and 8x−112x+3

Question

Alix Ortiz · Accepted Answer

Step 1
In algebra to use numerals, symbols, and letters called variables, or pro-numerals, and combinations of both. they stand for the unknown values. algebraic expressions or equations the unknown values are represented by pro-numerals or variables.
The variable is a symbol that stands for a number. a symbol or letter representing an unknown member of a set. in algebraic expressions, a variable stands for a value. sometimes it is called an unknown. the same variable may have different values under different conditions.
Step 2
To find the difference of the two functions apply the rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

and adding the like terms accordingly to the given sign and in the numerator, the common factor of

4 x + 6

is 2 therefore common out the factor 2 then in the numerator and the denominator cancel out the common factor

(2 x + 3)

.

\frac{12 x - 5}{2 x + 3} - \frac{8 x - 11}{2 x + 3} = \frac{12 x - 5 - (8 x - 11)}{2 x + 3}

= \frac{12 x - 5 - 8 x + 11}{2 x + 3}

= \frac{12 x - 8 x - 5 + 11}{2 x + 3}

= \frac{4 x + 6}{2 x + 3}

= \frac{2 (2 x + 3)}{2 x + 3}

\frac{12 x - 5}{2 x + 3} - \frac{8 x - 11}{2 x + 3} = 2

Therefore the answer is 2

Find the difference of 12x-5/2x+3 and 8x-11/2x+3

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