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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q174E. (page 603)

In the following exercises , factor completely using the perfect square trinomial pattern.
$90 p^{4} + 300 p^{4} q + 250 p^{2} q^{2}$

Short Answer

Expert verified

The factor of the given trinomial is $10 p^{2} (9 p^{2} + 30 p^{2} q + 25 q^{2})$ .

Step by step solution

01

Step 1. Given information.

Consider the given trinomial.

$90 p^{4} + 300 p^{4} q + 250 p^{2} q^{2}$

02

Step 2. Find the factor of trinomial.

Factor out $10 p^{2}$ from the given trinomial.

$90 p^{4} + 300 p^{4} q + 25 q^{2} 10 p^{2} (9 p^{2} + 30 p^{2} q + 25 q^{2})$

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Most popular questions from this chapter

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
$z^{6} - 27$

In the following exercises, factor the greatest common factor from each polynomial.

$8 y^{3} + 16 y^{2}$

Factor by Grouping In the following exercises, factor by grouping.

$a b + 5 a + 3 b + 15$

In the following exercises, find the greatest common factor.

$20 y^{3}, 28 y^{2}, 40 y$

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
$216 a^{3} + 125 b^{3}$

See all solutions

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