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

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

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

expand

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

\frac{4 - 4 x ^{2} + x ^{4}}{4}

Solution steps

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

Apply Perfect Square Formula:

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

(1 - \frac{x ^{2}}{2})^{2} = 1^{2} - 2 \cdot 1 \cdot \frac{x ^{2}}{2} + (\frac{x ^{2}}{2})^{2}

= 1^{2} - 2 \cdot 1 \cdot \frac{x ^{2}}{2} + (\frac{x ^{2}}{2})^{2}

Simplify

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

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

(2 p + \frac{3}{4}) (2 p - \frac{3}{4})

(i)^{\frac{1}{2}}

(1 - \frac{3}{3}) \cdot (1 + \frac{3}{3})

5 l e f t (4 - a + 3 x) + (2 + a - x)

2 (2 + 10)

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