(2/3xy^2+xy) (2/3xy^2-3xy) expand
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Answered by
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Answer:
Step-by-step explanation:
x = (3+ 2√2) and xy = 1
y = 1/x =1/( 3 + 2√2)
=( 3 - 2√2)/(3 + 2√2)(3 -2√2)
=(3 -2√2)/(3² - 2√2²)
=(3 -2√2)/(9 -8)
= 3 -2√2
hence ,
(x + y) = 3 +2√2 + 3 -2√2 = 6
now,
(x² + 3xy + y²) = {(x² + y²) + 3xy }
= { (x + y)² -2xy + 3xy }
= { (x + y)² + xy }
= { ( 6)² + 1}
= 37
similarly ,
(x² -3xy + y²)
= { (x + y)² -2xy -3xy }
={ (x + y)² -5xy }
= { (6)² -5×1 }
= { 36 -5}
= 31
hence ,
(x² +3xy + y²)/(x² -3xy + y²) = 37/31
Answered by
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Answer:
12a^2 b^3 c ^-1/15a^-2 b^5 c ^-3
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