If a^(2)+bx^(2) =13, and ab=6, find the value of a)(a+b)^(2) b)(a-b)^(2)

Question

If
`a^(2)+bx^(2) =13`, and ab=6, find the value of

a)
`(a+b)^(2)`
b)
`(a-b)^(2)`

Answer 1

`a^2-b^2=13;\ ab=6`

`a)\\(a+b)^2=a^2+2ab+b^2=(a^2+b^2)+2(ab)=13+2\cdot6=25\\\\b)\\(a-b)^2=a^2-2ab+b^2=(a^2+b^2)-2(ab)=13-2\cdot6=1`