Multiply Two Polynomials

Algebra Help: Section 2.15

1. Multiply 2a + 3b by a + b.

Multiplicand    2a + 3b
Multiplier       a +  b
_______
Product from a: 2a2 + 3ab
Product from b:       2ab + 3b2
________________
Entire product: 2a2 + 5ab + 3b2

ANALYSIS - The entire multiplicand must be multiplied a + b times.

  1. In the first line write the product of 2a +3b times a.
  2. In the second line write the product of 2a +3b times b.
  3. Align similar terms in vertical columns. For example 2ab appears directly under 3ab.
  4. Add or subtract similar terms to calculate the final product.

RULE - Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products.

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Help with Algebra Homework

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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.

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