Question

So in this equation a=4 and b=3, but I don’t know if I should square the number before multiplying it

Answer 1

So we are given the equation:

`((a^(2)+b^(2))(a^(2)-b^(2)))/((a+b)^(2)(2a^(2)-3ab+b^(2)))`

Then let's plug in 4 for all of the a's and 3 for all of the b's:

`((4^(2)+3^(2))(4^(2)-3^(2)))/((4+3)^(2)(2(4)^(2)-3(4)(3)+3^(2)))`

And then we solve using PEMDAS:

`((16+9)(16-9))/((7)^(2)(2(16)-3(12)+9))`

`((25)(7))/(49(32-36+9))`

`(175)/(49(5))`

`(175)/(245)`

Then if we divide both the numerator and the denominator by 35, we get:
`(5)/(7)`

And thus
`(5)/(7)` is the most simplified answer.