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

The solution to expand (4x^2-y^2)^2 is 16x^4-8x^2y^2+y^4

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

expand

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

16 x^{4} - 8 x^{2} y^{2} + y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{2})^{2} - 2 \cdot 4 x^{2} y^{2} + (y^{2})^{2} : 16 x^{4} - 8 x^{2} y^{2} + y^{4}

= 16 x^{4} - 8 x^{2} y^{2} + y^{4}

(- 10 m^{6} p) (- 5 m^{2} p^{3})

4 x - 6 x

\frac{\frac{x ^{3}}{x ^{2} - 4}}{\frac{2 x}{x ^{2} - 7 x + 10}}

(3 x + 1) (2 x^{2} - 9 x + 5)

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What is expand (4x^2-y^2)^2 ?
The solution to expand (4x^2-y^2)^2 is 16x^4-8x^2y^2+y^4