Resolve Binomial into Two Binomial Factors
Algebra Help: Section 2.28
Learn to resolve a binomial into two binomial factors.
A binomial may be resolved into two binomial factors, when both of its terms are perfect squares, and have contrary signs.
1. Factor a2 - b2.
ANALYSIS -
a2 is the square of a and b2
is the square of b.
Since a2 - b2 is the difference of the squares of
a and b, it must be equal to the product of the sum
and difference of a and b, as discussed
in section 4.6. Therefore a2 - b2 equals
(a + b)(a - b).
Rule
RULE - Write the sum and difference of the square roots of two given terms, as two binomial factors.
Page 71
Page 71
Help with Algebra Homework
Free tutorials provide math help for math problems. Tutorials start with algebra 1. Algebra tutorials include word problems related to algebra topics, as they're introduced. See the menu, above for algebra math equations, and explanation, by section.
Windows algebra games, designed to help with classwork, coming soon!
Windows games, in progress, work with this set of free tutorials, modified
from the public domain text book titled,
New Elementary Algebra
containing the rudiments of the science for schools and academies.
By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.
