    ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# State whether each equation is true or false. (a) (p + q)2 = p2 + q2 (b) a b = a b (c) a 2 + b 2 = a + b (d) 1 + T C C = 1 + T (e) 1 x − y = 1 x − 1 y (f) 1 / x a / x − b / x = 1 a − b

(a)

To determine

To state: Whether the equation (p+q)2=p2+q2 is true or false.

Explanation

Suppose the values of p=2andq=1.

Substitute the value of p=2andq=1 in the L. H. S. of the equation (p+q)2=p2+q2,

L.H.S.=(2+1)2=32=9

Substitute the value of p=2andq=1 in the R. H. S. of the equation (p+q)2=p2+q2,

R

(b)

To determine

To state: Whether the equation ab=ab is true or false.

(c)

To determine

To state: Whether the equation a2+b2=a+b is true or false.

(d)

To determine

To state: Whether the equation 1+TCC=1+T is true or false.

(e)

To determine

To state: Whether the equation 1xy=1x1y is true or false.

(f)

To determine

To state: Whether the equation 1xaxbx=1ab is true or false.

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