What is 3a^2(2x-y)-2x(a+y^2)^2 ?

The solution to 3a^2(2x-y)-2x(a+y^2)^2 is 4xa^2-3a^2y-2xy^4-4axy^2

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simplify 3a^2(2x-y)-2x(a+y^2)^2

simplify

3 a^{2} (2 x - y) - 2 x (a + y^{2})^{2}

4 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}

Solution steps

3 a^{2} (2 x - y) - 2 x (a + y^{2})^{2}

Expand

3 a^{2} (2 x - y) : 6 x a^{2} - 3 a^{2} y

= 6 x a^{2} - 3 a^{2} y - 2 x (a + y^{2})^{2}

Expand

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

= 6 x a^{2} - 3 a^{2} y - 2 x a^{2} - 4 a x y^{2} - 2 x y^{4}

Group like terms

= 6 x a^{2} - 2 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}

Add similar elements:

6 x a^{2} - 2 x a^{2} = 4 x a^{2}

= 4 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}

- 3 (2 x + 3 y) (3 x - 5 y)

25 x^{11}

200 - 32

- \frac{5}{2} - 4

- 6^{- 4}

What is 3a^2(2x-y)-2x(a+y^2)^2 ?
The solution to 3a^2(2x-y)-2x(a+y^2)^2 is 4xa^2-3a^2y-2xy^4-4axy^2