What is expand (k^2-9/2)^2 ?

The solution to expand (k^2-9/2)^2 is (4k^4-36k^2+81)/4

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expand (k^2-9/2)^2

expand

(k^{2} - \frac{9}{2})^{2}

\frac{4 k ^{4} - 36 k ^{2} + 81}{4}

Solution steps

(k^{2} - \frac{9}{2})^{2}

Apply Perfect Square Formula:

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

(k^{2} - \frac{9}{2})^{2} = (k^{2})^{2} - 2 k^{2} \frac{9}{2} + (\frac{9}{2})^{2}

= (k^{2})^{2} - 2 k^{2} \frac{9}{2} + (\frac{9}{2})^{2}

Simplify

(k^{2})^{2} - 2 k^{2} \frac{9}{2} + (\frac{9}{2})^{2} : \frac{4 k ^{4} - 36 k ^{2} + 81}{4}

= \frac{4 k ^{4} - 36 k ^{2} + 81}{4}

\frac{a x + y + ( a x + y ) ^{2} + z ^{2}}{z}

, (3 - 9) (3 - 5)

\frac{( x - 1 ) ^{3}}{x}

(e^{x} + e^{x} x) \cdot e^{x}

(\frac{3}{4} - 7 m) (\frac{3}{4} + 7 m)

What is expand (k^2-9/2)^2 ?
The solution to expand (k^2-9/2)^2 is (4k^4-36k^2+81)/4