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Chapter 11: Q22. (page 728)

Simplify

(4鈭�5)2

Short Answer

Expert verified

The value of the given expression4鈭�52 after simplification is 21鈭�85.

Step by step solution

01

Step 1. Write the identity of (a−b)2.

The identity of (a鈭�b)2is:

(a鈭�b)2=a2鈭�2ab+b2

02

Step 2. Simplify the given expression.

The value of the given expression after simplification is:

4鈭�52=42鈭�2(4)5+52(鈭�(a鈭�b)2=a2鈭�2ab+b2)=16鈭�85+5=16+5鈭�85=21鈭�85

03

Step 3. Conclusion

Therefore, the value of the given expression4鈭�52 after simplification is 21鈭�85.

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Most popular questions from this chapter

Find each product or quotient.

6x2y412鈰�3x3y2xy

Find each quotient.

x3鈭�2x2鈭�22x+21梅x鈭�3

Find the quotient.

x4y2梅xy

Solve. Assume thaty varies inversely as x.

Ify=鈭�1 when x=鈭�3, findy when x=鈭�9.

Assume thaty varies inversely as x. Write an inverse variation equation that relatesx and y.

role="math" localid="1648019765637" y=2whenx=8
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