Question

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if a-b =7 and a^2+b^2=87, the find the value of a^3-b*^3

Answer 1

a-b=7
b=7+a----(1)
a^2+b^2=87-----(2)
from (1)&(2)
a^2+(7+a)^2=87
a^2+49+a^2=87
2a^2+49=87
2a^2=87-49
a^2=38/2

$a = \sqrt{19}$
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Answer 2

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