What is expand (2a^3-5b^4)^2 ?

The solution to expand (2a^3-5b^4)^2 is 4a^6-20a^3b^4+25b^8

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expand (2a^3-5b^4)^2

expand

(2 a^{3} - 5 b^{4})^{2}

4 a^{6} - 20 a^{3} b^{4} + 25 b^{8}

Solution steps

(2 a^{3} - 5 b^{4})^{2}

Apply Perfect Square Formula:

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

(2 a^{3} - 5 b^{4})^{2} = (2 a^{3})^{2} - 2 \cdot 2 a^{3} \cdot 5 b^{4} + (5 b^{4})^{2}

= (2 a^{3})^{2} - 2 \cdot 2 a^{3} \cdot 5 b^{4} + (5 b^{4})^{2}

Simplify

(2 a^{3})^{2} - 2 \cdot 2 a^{3} \cdot 5 b^{4} + (5 b^{4})^{2} : 4 a^{6} - 20 a^{3} b^{4} + 25 b^{8}

= 4 a^{6} - 20 a^{3} b^{4} + 25 b^{8}

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

(x + 4) (x + 1) (2 x - 3) (x - 1)

20 x^{2} - 45

\frac{1}{1 + 2 i} + \frac{1}{1 + 5 i}

- \frac{104}{48}

What is expand (2a^3-5b^4)^2 ?
The solution to expand (2a^3-5b^4)^2 is 4a^6-20a^3b^4+25b^8