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Exercises Polynomials and factoring

Example 6.53 from Elementary Algebra, 6.4 Special Products

Special Products: example 6.53

Multiply: $(2 x + 5) (2 x - 5) .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Are the binomials conjugates?

It is the product of conjugates.

Square the first term, 2x.

Square the last term, 5.

Simplify. The product is a difference of squares.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Multiply: $(6 x + 5) (6 x - 5) .$

How did it go?

PreviousSpecial Products: example 6.52 Next Special Products: example 6.54

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.