Addition
(3x2+7x-4) + (-2x2+8)
x2+7x+4
(b + 5b4) - (4b + b4)
4b4 - 3b
(4n - 2)(2n - 4)
8n2 - 20n + 8
(3n3 + 4n2 + 45n)/9n
n2/3 + 4n/9 + 5
the number which comes before a variable
coefficient
(4n + 5n3) + (3n + 2n2)
5n3 + 2n2 + 7n
(m2 + 2m4) - (m + 3m2)
2m4 - 2m - m
(5a - 4)(4a - 5)
20a2 - 41a + 20
(2x3 + 20x2 + 5x)/10x2
x/5 + 2 + 1/2x
a mathematical expression with multiple terms which can't be reduced
(12n3 + 14 + 13n4) + (8n3 + 7n4 + 11)
20n4 + 20n3 + 25
(6x2 + 12x + 13x5) - (6x3 - 2x2 - x5)
14x5 - 6x3 + 8x2 + 12x
(-v - 5)(8v - 2)
-8v2 - 38v + 10
(8v3 - 31v2 + 25v - 10)/(v - 3)
8v2 - 7v + 4 + 2/(v - 3)
simplifying an expression so each variable order only appears once
collecting like terms
(6v5 + 12v4 + 4v2) + (7v2 + 2v5 + v3)
8v5 + 12v4 + v3 + 11v2
(11b4 - 10b5 + b2) - (8b4 - 11b2 + 10b3)
-10b5 + 3b4 - 10b3 + 12b2
(-8r - 5)(-7r + 7)
56r2 - 21r - 35
(x3 - 4x2 - 38x + 41)/(x-8)
x2 + 4x - 6 - 7/(x - 8)
the part that goes on the outside of the long division sign.
the divisor
(11xy4 - xy3) + (-1 + xy3 - 13x2) + (-4 + 14xy4)
25xy4 - 13x2 -5
(13ab2 - 6b2) - (-13b2 - 8b3 + 8ab2) - (2b2 + 13ab2)
-8ab2 + 8b3 + 5b2
(-4x2 - x -7)(x2 - 5x + 6)
-4x4 + 19x3 - 26x2 + 29x - 42
(a3 + 4a2 - 35a + 31)/(a - 8)
a2 + 4a - 3 + 7/(a - 8)
the expressions that can be multiplied together to get a third expression
the factors.