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D e a r S t u d e n t, S o l u t i o n 9) x^{8} - y^{8} {(x^{4})}^{2} - {(y^{4})}^{2} = (x^{4} - y^{4}) (x^{4} + y^{4}) {u s i n g f o r m u l a a^{2} - b^{2} = (a + b) (a - b)} = [{(x^{2})}^{2} - {(y^{2})}^{2}] (x^{4} + y^{4}) {u s i n g f o r m u l a a^{2} - b^{2} = (a + b) (a - b)] = (x^{2} - y^{2}) (x^{2} + y^{2}) (x^{4} + y^{4}) u s i n g f o r m u l a a^{2} - b^{2} = (a + b) (a - b) = (x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})

S o l u t i o n 10) 5^{3 x} = 125 5^{3 x} = 5^{3} N o w, 3 x = 3 \Rightarrow x = 1 10^{y} = 0.001 10^{y} = \frac{1}{1000} 10^{y} = \frac{1}{10^{3}} 10^{y} = 10^{- 3} \Rightarrow y = - 3 t r y t o s o l v e r e s t p a r t s a n d i f y o u f a c e a n y d i f f i c u l t y, k i n d l y g e t b a c k t o u s . . R e g a r d s!

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