What is expand (4-x^2)^2-(1-1/4 x^2)^2 ?

The solution to expand (4-x^2)^2-(1-1/4 x^2)^2 is 16+(15x^4-120x^2-16)/(16)

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expand (4-x^2)^2-(1-1/4 x^2)^2

expand

(4 - x^{2})^{2} - (1 - \frac{1}{4} x^{2})^{2}

16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

Solution steps

(4 - x^{2})^{2} - (1 - \frac{1}{4} x^{2})^{2}

Expand

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

= 16 - 8 x^{2} + x^{4} - (1 - \frac{1}{4} x^{2})^{2}

Expand

- (1 - \frac{1}{4} x^{2})^{2} : - \frac{16 - 8 x ^{2} + x ^{4}}{16}

= 16 - 8 x^{2} + x^{4} - \frac{16 - 8 x ^{2} + x ^{4}}{16}

Join

16 - 8 x^{2} + x^{4} - \frac{16 - 8 x ^{2} + x ^{4}}{16} : 16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

= 16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

(z + \frac{1}{z})^{5}

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

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

What is expand (4-x^2)^2-(1-1/4 x^2)^2 ?
The solution to expand (4-x^2)^2-(1-1/4 x^2)^2 is 16+(15x^4-120x^2-16)/(16)