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Chapter 7: Q18. (page 463)

Find each product.

2a鈭�53a+5

Short Answer

Expert verified

The product of2a鈭�53a+5 is 6a2鈭�5a鈭�25.

Step by step solution

01

Step 1. Write distributive property.

For any numbers,a,b and c, ab+c=ab+ac.

02

Step 2. Apply distributive property.

Apply distributive property to the given expression.

2a3a+5鈭�53a+5=2a鈰�3a+2a鈰�5鈭�5鈰�3a鈭�5鈰�5

03

Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify it further.

6a2+10a鈭�15a鈭�25=6a2鈭�5a鈭�25

Therefore, the product of2a鈭�53a+5 is 6a2鈭�5a鈭�25.

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Most popular questions from this chapter

Write two formulas that have monomial expressions in them. Explain how each is used in a real word situation.

Express each number in scientific notation.

58,000

MULTIPLE REPRESENTATIONS in this problem, you will explore exponents.

a. TABULAR Copy and use a calculator to complete the table.

b. ANALYTICAL What do you think the values of50 and5鈭�1 are? Verify your conjecture using a calculator.

c. ANALYTICAL Complete: for any nonzero number a and any integer n,a鈭�n=_.

d. VERBAL Describe the value of a nonzero number raised to the zero power.

Simplify the expression

鈭�3p5t64

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Mickey has 180feet of fencing that she wants to use to enclose a play area for her puppy. She will use her house as one of the sides of the region.

  1. If she makes the play areaxfeet deep as shown in the figure, write a polynomial in standard form to represent the area of the region.
  2. How many square feet of area will the puppy have to play in if Mickey makes it 40 feet deep?
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