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(2)
2(a+b)=3a-b
a=3b
(1)
(3a+b)/(a-b)= (9b+b)/(3b-b) =10/2 =5
(2)
(a^2-6ab)/(a^2+b^2)
=(9b^2-18b^2)/(9b^2+b^2)
=-9/10
(3)
(1)
x^2 +2 +1/x^2
=(x+1/x)^2
=7^2
=49
(2)
x^3-1 +1/x^3
=(x+1/x)^3 -3(x+1/x) -1
=7^3 - 3(7) -1
=343-21-1
=321
(4)
(1)
1/(1x2)+1/(2x3)+...+1/(99x100)
=(1-1/2)+(1/2-1/3) +...+(1/99-1/100)
=1-1/100
=99/100
(2)
1/(2x4)+1/(4x6)+....+1/(98x100)
=(1/2) [ (1/2-1/4)+(1/4-1/6)+...+(1/98-1/100)]
=(1/2)(1/2-1/100)
=(1/2)(49/100)
=49/200
2(a+b)=3a-b
a=3b
(1)
(3a+b)/(a-b)= (9b+b)/(3b-b) =10/2 =5
(2)
(a^2-6ab)/(a^2+b^2)
=(9b^2-18b^2)/(9b^2+b^2)
=-9/10
(3)
(1)
x^2 +2 +1/x^2
=(x+1/x)^2
=7^2
=49
(2)
x^3-1 +1/x^3
=(x+1/x)^3 -3(x+1/x) -1
=7^3 - 3(7) -1
=343-21-1
=321
(4)
(1)
1/(1x2)+1/(2x3)+...+1/(99x100)
=(1-1/2)+(1/2-1/3) +...+(1/99-1/100)
=1-1/100
=99/100
(2)
1/(2x4)+1/(4x6)+....+1/(98x100)
=(1/2) [ (1/2-1/4)+(1/4-1/6)+...+(1/98-1/100)]
=(1/2)(1/2-1/100)
=(1/2)(49/100)
=49/200
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