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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.

Solving Systems of Equations Using the Elimination Method by Subtraction
01:35

Solving Systems of Equations Using the Elimination Method by Subtraction

Another way to eliminate terms that are additive inverses is by subtraction.

Practical Problem: Boat Speed and River Currents
04:12

Practical Problem: Boat Speed and River Currents

A word problem involving rate, time, and distance is solved step-by-step using the elimination method.

Practical Problem: Furniture Salesperson Earnings
02:19

Practical Problem: Furniture Salesperson Earnings

Using the slope-intercept form to solve a practical problem involving calculating earnings.

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