Sums, Differences, and Quotients of Polynomials

$\blacktriangleright$ To collect terms, to find a sum or difference of polynomials, or to change a quotient to rational form

1.
Enter the expression in mathematics mode.

2.
Leave the insertion point in the expression and apply Evaluate (or click itbpF0.3009in0.3009in0.0701inevaluate.wmfor press CTRL +E).

$\blacktriangleright$ Evaluate

$\left(\vphantom{ 3x^{2}+3x}\right.$3x2 + 3x$\left.\vphantom{ 3x^{2}+3x}\right)$ + $\left(\vphantom{ 8x^{2}+7}\right.$8x2 + 7$\left.\vphantom{ 8x^{2}+7}\right)$ =  11x2 + 3x + 7

$\left(\vphantom{ 3x^{2}+3x}\right.$3x2 + 3x$\left.\vphantom{ 3x^{2}+3x}\right)$ - $\left(\vphantom{ 8x^{2}+7}\right.$8x2 + 7$\left.\vphantom{ 8x^{2}+7}\right)$ =   -5x2 + 3x - 7

x2 + x + 5 - 3x3 +5x2 +4x - 13 + 2x2 =  8x2 +5x - 8 - 3x3

$\left(\vphantom{ 3x^{2}+3x}\right.$3x2 + 3x$\left.\vphantom{ 3x^{2}+3x}\right)$/$\left(\vphantom{ 8x^{2}+7}\right.$8x2 + 7$\left.\vphantom{ 8x^{2}+7}\right)$ =   ${\dfrac{{3x^{2}+3x}}{{% 8x^{2}+7}}}$

Several of the other commands listed earlier have the same effect on these particular expressions.