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.
Another way to eliminate terms that are additive inverses is by subtraction.
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Using the slope-intercept form to solve a practical problem involving calculating earnings.
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Practice factoring: 10b2c4d - 6b3c4d2
Practice factoring: 7x2y2 4xy2 - 8x2y
Using the distributive law to factor the polynomial 18x - 12y is demonstrated.
Practice factoring: 2la5b7 — 7a4b6c
Practice factoring: 72m3n2p5 - 48mn5p3