What is 9x^2-4*(y+2x)^2 ?

The solution to 9x^2-4*(y+2x)^2 is -7x^2-4y^2-16xy

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simplify 9x^2-4*(y+2x)^2

simplify

9 x^{2} - 4 \cdot (y + 2 x)^{2}

- 7 x^{2} - 4 y^{2} - 16 x y

Solution steps

9 x^{2} - 4 (y + 2 x)^{2}

Expand

- 4 (y + 2 x)^{2} : - 4 y^{2} - 16 x y - 16 x^{2}

= 9 x^{2} - 4 y^{2} - 16 x y - 16 x^{2}

Group like terms

= 9 x^{2} - 16 x^{2} - 4 y^{2} - 16 x y

Add similar elements:

9 x^{2} - 16 x^{2} = - 7 x^{2}

= - 7 x^{2} - 4 y^{2} - 16 x y

(- m + 3)^{3}

32 x^{3} y + 108 y^{4}

(\frac{4}{n}) - (\frac{6}{n + 2})

\frac{( - x ) ^{7}}{( - x ) ^{4}}

(\frac{x ^{2} + 2}{x})^{2}