What is expand (4n^3-6i^7)^2 ?

The solution to expand (4n^3-6i^7)^2 is (16n^6-36)+48n^3i

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expand (4n^3-6i^7)^2

expand

(4 n^{3} - 6 i^{7})^{2}

(16 n^{6} - 36) + 48 n^{3} i

Solution steps

(4 n^{3} - 6 i^{7})^{2}

Apply Perfect Square Formula:

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

(4 n^{3} - 6 i^{7})^{2} = (4 n^{3})^{2} - 2 \cdot 4 n^{3} \cdot 6 i^{7} + (6 i^{7})^{2}

= (4 n^{3})^{2} - 2 \cdot 4 n^{3} \cdot 6 i^{7} + (6 i^{7})^{2}

Simplify

(4 n^{3})^{2} - 2 \cdot 4 n^{3} \cdot 6 i^{7} + (6 i^{7})^{2} : 16 n^{6} + 48 n^{3} i - 36

= 16 n^{6} + 48 n^{3} i - 36

Rewrite in standard complex form:

(16 n^{6} - 36) + 48 n^{3} i

= (16 n^{6} - 36) + 48 n^{3} i

\frac{3 ( 67 201 - 1833 )}{512}

x^{4} 6 - x (e^{k} - e^{- x})

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

- 2 (x + 1) sin^{2} (x + 1)

\frac{( x - 5 ) ^{3}}{3}

What is expand (4n^3-6i^7)^2 ?
The solution to expand (4n^3-6i^7)^2 is (16n^6-36)+48n^3i