Question
Subtract: $\frac{2}{3}\text{y}^{3}+\frac{2}{7}\text{y}^{2}-5$ from $\frac{1}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\text{y}-2$
✓
Answer
$\big(\frac{1}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\text{y}-2\big)-\big(\frac{2}{3}\text{y}^{3}-\frac{2}{7}\text{y}^{2}-5\big)$
$=\frac{1}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\text{y}-2-\frac{2}{3}\text{y}^{3}+\frac{2}{7}\text{y}^{2}+5$
$=\frac{1}{3}\text{y}^{3}-\frac{2}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\frac{2}{7}\text{y}^{2}+\text{y}-2+5$ (Collecting like terms)
$=-\frac{1}{3}\text{y}^{3}+\text{y}^{2}+\text{y}+3$ (Combining like terms)
$=\frac{1}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\text{y}-2-\frac{2}{3}\text{y}^{3}+\frac{2}{7}\text{y}^{2}+5$
$=\frac{1}{3}\text{y}^{3}-\frac{2}{3}\text{y}^{3}+\frac{5}{7}\text{y}^{2}+\frac{2}{7}\text{y}^{2}+\text{y}-2+5$ (Collecting like terms)
$=-\frac{1}{3}\text{y}^{3}+\text{y}^{2}+\text{y}+3$ (Combining like terms)
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