Multiplication of polynomials
simplify: (b4)(5b5)
5b9
simplify: (5p2-3)+(2p2-3p3)
-3p3+7p2-3
simplify: x3x5
x8
A polynomial that has exactly the same two terms
binomial
simplify: (k3)4
k12
simplify:(4p-3)(p-2)
4p2-11p+6
simplify: (5a+3b)+(3a-7b)
8a-4b
simplify: g5/g3
g2
b is a real number and that m and n represent positive integers then (bm)n=bmn
Power rule for exponents
simplify: y3y6/y4
y5
Simplify: (-3j2+4j-2)(-5j)
15j3-20j2+10j
simplify: (4x2+8x-6)+(-6x2-x+9)
-2x2+7x+3
simplify: 8x/2x4
4/x3
The greatest degree of all its terms
Degree of a polynomial
let m represent a positive integer (ab)m=ambm
Power of a product and power of a quotient
simplify: 2x(-2x-3)
-4x2-6x
simplify: (4n-3n3)-(3n3+4n)
-6n3
simplify:(2x2)2
4x4
bmbn=bm+n
multiplication of expressions with like bases
simplify: 4xy(2xy-3x+6y)
8x2y2-12x2y+24xy2
simplify: (2a-1)(8a-5)
16a2-8a-5
simplify: (3x4-3x)-(3x-3x4)
6x4-6x
simplify: 3u4v5*7u2v3
21u6v8
Real number and that m and n represent positive integers bm/bn=bm-n
Division of expressions with like bases
The sum and difference of the same two term is
conjugates