What is expand-y^2(-8x^2-6xy-y^2) ?

The solution to expand-y^2(-8x^2-6xy-y^2) is 8y^2x^2+6y^3x+y^4

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expand-y^2(-8x^2-6xy-y^2)

expand

- y^{2} (- 8 x^{2} - 6 x y - y^{2})

8 y^{2} x^{2} + 6 y^{3} x + y^{4}

Solution steps

- y^{2} (- 8 x^{2} - 6 x y - y^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- y^{2} (- 8 x^{2} - 6 x y - y^{2}) = - y^{2} (- 8 x^{2}) - y^{2} (- 6 x y) - y^{2} (- y^{2})

= - y^{2} (- 8 x^{2}) - y^{2} (- 6 x y) - y^{2} (- y^{2})

Simplify

- y^{2} (- 8 x^{2}) - y^{2} (- 6 x y) - y^{2} (- y^{2}) : 8 y^{2} x^{2} + 6 y^{3} x + y^{4}

= 8 y^{2} x^{2} + 6 y^{3} x + y^{4}

(\frac{1 + 3 i}{2})^{165}

\frac{10}{3} + 2

\frac{10}{3} - 4

- \frac{2}{5} - \frac{2}{5}

4 x^{6} y^{12} - 108

What is expand-y^2(-8x^2-6xy-y^2) ?
The solution to expand-y^2(-8x^2-6xy-y^2) is 8y^2x^2+6y^3x+y^4