Junior High School Mathematics 3

Cover Junior High School Mathematics 3
Junior High School Mathematics 3
George Wentworth
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to lowest terms.
a 4 -6 4 Notice that a 4 - ft* = (a 2 ) 2 - (fc 2 ) 2 = (a 2 + ft 2 ) (a 2 - b 2 ) = (a 2 + ft 2 ) (a + 6) (a -ft).
Reduce the following fractions to lowest terms: 13.
14.
15.
16.
17.
x 2 - x + y x 2 — y 2 x*-y 2 ot + b 2 a*-b*' 18.
ft 2 19.
20.
21.
a 4 -ft 4 a 2 + ff 0* + ab 2 ' a 2 -ft 2 a 2 £_#*' s+2 x 2 + Sx + 2' x + 3 tf-x-lZ 24.
25 ^-62:4-8 a + b a 2 + 2ab + b 2 ' a? + x*y x 2 -\-2xy-hy 2 26. &±*2.
g7 . *» 4(5 + 6) SIGN OF A FRACTION 73 70. Sign of a Fraction. The plus si
...gn or the minus sign before a fraction is called the sign of the fraction.
If there is no sign expressed, the plus sign is understood as usual.
71. Changing Signs in the Terms. Since, from the law of signs in division, a — a — a a The value of a fraction is not altered by changing the signs of both the numerator and the denominator, by changing the signs of both the fraction and the numerator, or by changing the signs of both the fraction and the denominator.
To change the sign of the numerator means that we must change the sign of every term of the numerator, and similarly for the de- nominator.


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