Nash Cox

2022-12-17

Combine like terms to create an equivalent expression. Make sure to simplify coefficients and constants as well
$-\frac{6}{5}-\frac{2}{3}\cdot v+\frac{4}{15}+\frac{1}{3}\cdot v$

fardachojnr

Expert

Given that,
To combine like terms to create an equivalent expression and to Make sure to simplify coefficients and constants as well,
$-\frac{6}{5}-\frac{2}{3}\cdot v+\frac{4}{15}+\frac{1}{3}\cdot v$
What is an algebraic expression?
The algebraic expression consists of constant and variable. eg x, y, z etc.
Here,
$-\frac{6}{5}-\frac{2}{3}\cdot v+\frac{4}{15}+\frac{1}{3}\cdot v$
In the above expression, -2/3 and 1/3 is the coefficient and -6/5 and -2/3 is constant while adding like termes the coefficient combines with coefficient and constant with constant.
$=-\frac{2}{3}v+\frac{1}{3}v-\frac{6}{5}+\frac{4}{15}\phantom{\rule{0ex}{0ex}}=-\frac{1}{3}v-\frac{14}{15}$
Thus, $-\frac{1}{3}v-\frac{14}{15}$ is the required solution for combine like terms to create an equivalent expression to $-\frac{6}{5}-\frac{2}{3}\cdot v+\frac{4}{15}+\frac{1}{3}\cdot v$

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