What is expand (3x^2-y^4)^2 ?

The solution to expand (3x^2-y^4)^2 is 9x^4-6x^2y^4+y^8

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expand (3x^2-y^4)^2

expand

(3 x^{2} - y^{4})^{2}

9 x^{4} - 6 x^{2} y^{4} + y^{8}

Solution steps

(3 x^{2} - y^{4})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(3 x^{2} - y^{4})^{2} = (3 x^{2})^{2} - 2 \cdot 3 x^{2} y^{4} + (y^{4})^{2}

= (3 x^{2})^{2} - 2 \cdot 3 x^{2} y^{4} + (y^{4})^{2}

Simplify

(3 x^{2})^{2} - 2 \cdot 3 x^{2} y^{4} + (y^{4})^{2} : 9 x^{4} - 6 x^{2} y^{4} + y^{8}

= 9 x^{4} - 6 x^{2} y^{4} + y^{8}

- 2 (t - 3)

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

(2 (x + 1) - 4 (x + 3)) (2 (x + 1) - 4 (x + 3))

49 x^{2} - 56 x y + 16 y^{2}

x (3 x - 2)

What is expand (3x^2-y^4)^2 ?
The solution to expand (3x^2-y^4)^2 is 9x^4-6x^2y^4+y^8