What is expand (xy^2-9)(xy^2+12) ?

The solution to expand (xy^2-9)(xy^2+12) is x^2y^4+3xy^2-108

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expand (xy^2-9)(xy^2+12)

expand

(x y^{2} - 9) (x y^{2} + 12)

x^{2} y^{4} + 3 x y^{2} - 108

Solution steps

(x y^{2} - 9) (x y^{2} + 12)

Apply FOIL method

(x y^{2} - 9) (x y^{2} + 12) : x^{2} y^{4} + 3 x y^{2} - 108

= x^{2} y^{4} + 3 x y^{2} - 108

\frac{9 x ^{3}}{5 x + 1} - \frac{8 x ^{3}}{5 x + 1}

(1 - x)^{2} (2 - x)

(x + 2) (5 x^{2} - 3 x - 2)

\frac{1}{2} \div \frac{4}{5}

\frac{28}{16}

What is expand (xy^2-9)(xy^2+12) ?
The solution to expand (xy^2-9)(xy^2+12) is x^2y^4+3xy^2-108