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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 270 (page 1069)

In the following exercises , simplify the equation $(3 x - 11 y) (3 x - 11 y)$ .

Short Answer

Expert verified

The simplified expression is $9 x^{2} - 66 x y + 121 y^{2}$ .

Step by step solution

01

Step 1. Given Information.

The expression is $(3 x - 11 y) (3 x - 11 y)$ .

02

Step 2. Simplify given equation.

Simplifying $(3 x - 11 y) (3 x - 11 y)$

Expand

$(3 x - 11 y) (3 x - 11 y) = 3 x \cdot 3 x - 33 x y - 33 x y - 11 y \cdot (- 11 y) 3 x \cdot 3 x - 33 x y - 33 x y - 11 y \cdot (- 11 y) = 9 x^{2} - 66 x y + 121 y^{2}$

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Most popular questions from this chapter

The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a block of ice melts in 2 hours when the temperature is 65 degrees Celsius.

Write the equation of variation.
How many hours would it take for the same block of ice to melt if the temperature was 78 degrees?

Solve: ${(9 x + 9)}^{\frac{1}{4}} - 2 = 1$

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 'ac' method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

Divide: $\frac{1 + 6 i}{6 - i}$

Simplify:

$(a) \sqrt[3]{- 625} (b) \sqrt[4]{- 324} .$

See all solutions

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