Question 638050
Use the properties of exponents to simplify the following: (3x^(1/2)-y^(1/2))^2


{{{(3x^(1/2)-y^(1/2))^2}}}


{{{(3x^(1/2) - y^(1/2))(3x^(1/2) - y^(1/2))}}}


{{{(3x^(1/2))(3x^(1/2)) - (3x^(1/2)y^(1/2)) - (3x^(1/2)y^(1/2)) + (y^(1/2))(y^(1/2))}}} ----- FOILing


{{{9x^((1/2 + 1/2)) - 2*3x^(1/2)y^(1/2) + y^((1/2 + 1/2))}}}


{{{9x^1 - 2(3x^(1/2))(y^(1/2)) + y^1}}}


{{{highlight_green(9x - 6(xy)^(1/2) + y)}}}, or {{{highlight_green(9x - 6sqrt(xy) + y)}}}



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