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Chapter 8: Q2. (page 513)

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.

x+5x鈭�5炉is the factorization of a difference of squares.

Short Answer

Expert verified

The given sentence is True.

Step by step solution

01

Step 1. Write the property of difference of Squares.

The property of difference of Squares states that the difference of squares is equal to the product of the sum and difference of the two quantities.

That implies,

a2鈭�b2=a+ba鈭�b

02

Step 2. State whether the given sentence is true or false.

The given expression is x+5x鈭�5.

It can be written as:

x+5x鈭�5=x2鈭�52鈭�a2鈭�b2=a+ba鈭�b

Therefore, it can be said that the given expressionx+5x鈭�5 is a factorization of a difference of squares.

Therefore, the given sentence is True.

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Most popular questions from this chapter

Solve each equation. Check your solutions.

6x2=12x

Which of the following polynomials is prime?

A5x2+34x+24

B4x2+22x+10

C4x2+38x+70

D5x2+3x+4

Find each product.

2x+5y2x鈭�5y

Factor each trinomial.x2鈭�8x+15.

Factor the polynomial y2+9y+20.

Fy+2y+10Gy+4y+5Hy+3y+8Jy+5y+2
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