If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} - \frac{x^{2}}{y^{2}}\right)\)
a
5/8
b
5/2
c
5/32
d
5/16
Explanation
Correct Option
bVideo Explanation
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Discussions (7)
maidaura
13 years ago
Let start with nominator and put y/2 in place of x. Y3/2^3÷y3+1/2= y3/8*1/y3=1/8+1/2= 5/8. Then move to the denominator 1/2-y2/4÷y2= 1/2-y2/4*1/y2= 1/2-y2/4*1/y2=1/2-1/4*1/1= 1/2-1/4= 1/4 therefore divide 5/8 by 1/4=5/8*4/1= 20/8 = 5/2 when divided both by 4. Thanks my school for ur contribution on education
