Chapter 6: Q 168. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$25 r^{2} + 60 r s + 36 s^{2}$

Short Answer

Expert verified

The factor of the polynomial is ${(5 r + 6 s)}^{2}$ .

Step by step solution

Step 1. Given information.

Consider the given trinomial.

$25 r^{2} + 60 r s + 36 s^{2}$

Step 2. Formula used

The general formula for pefect square trinomial is $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ .

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is negative, so the binomial square will be of the form ${(a + b)}^{2}$ .

${(5 r)}^{2} + 2 \cdot 5 r \cdot 6 s + {(6 s)}^{2} {(5 r + 6 s)}^{2}$

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In the following exercises, factor completely using the perfect square trinomials pattern.
$25 r^{2} + 60 r s + 36 s^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Find the factor of perfect square trinomial.

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In the following exercises, factor completely using the perfect square trinomials pattern.25r2+60rs+36s2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Find the factor of perfect square trinomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Probability and Statistics

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely using the perfect square trinomials pattern.
$25 r^{2} + 60 r s + 36 s^{2}$