Question

If (a2+b2):(a2-b2)=41:9 then (a3+b3):(a3-b3) is

Answer 1

Step-by-step explanation:

a²+b²/a²-b²=41/9

a²+b²/a²-b²=25+16/25-16

a²+b²/a²-b²=(5)²+(4)²/5²-4²

a²/b²=5/4

[a/b]²=[5/4]²

a/b=5/4

a³+b³/a³-b³=(a/b)³+1/(a/b)³-1

a³+b³/a³-b³=(5/4)³+1÷(5/4)³-1

a³+b³/a³-b³=5³+4³/5³-4³

a³+b³/a³-b³=125+16÷125-16

a³+b³/a³-b³=189/61

THEREFORE IF A²+B²:A²-B²=41:9THEN A³+B³:A³-B³=189:61