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Simplifying by Adding or Subtracting Common Radical Factors
02:13

Simplifying by Adding or Subtracting Common Radical Factors

A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.

Factor: 5c2   3c - 20cd - 12d
01:08

Factor: 5c2 3c - 20cd - 12d

Practice factoring: 5c2 3c - 20cd - 12d.

Factor: ax - x - 5a   5
01:19

Factor: ax - x - 5a 5

Practice with factoring involving minus signs: ax - x - 5a 5.

Factor 14n   35p
02:08

Factor 14n 35p

Demonstration of factoring a polynomial with no like terms: 14n 35p,

Factor 10b2c4d - 6b3c4d2
01:03

Factor 10b2c4d - 6b3c4d2

Practice factoring: 10b2c4d - 6b3c4d2

Factor 7x2y2   4xy2 - 8x2y
02:30

Factor 7x2y2 4xy2 - 8x2y

Practice factoring: 7x2y2 4xy2 - 8x2y

Factor 18x - 12y
02:25

Factor 18x - 12y

Using the distributive law to factor the polynomial 18x - 12y is demonstrated.

Factor 21a5b7 – 7a4b6c
02:09

Factor 21a5b7 – 7a4b6c

Practice factoring: 2la5b7 — 7a4b6c

Factor 72m3n2p5 - 48mn5p3
01:32

Factor 72m3n2p5 - 48mn5p3

Practice factoring: 72m3n2p5 - 48mn5p3

Factor 27x10y3z15 - 9x9y3x9
00:54

Factor 27x10y3z15 - 9x9y3x9

Practice factoring: 27x10y3z15 - 9x9y3z9