What is expand (4x^4-y^5)^2 ?

The solution to expand (4x^4-y^5)^2 is 16x^8-8x^4y^5+y^{10}

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expand (4x^4-y^5)^2

expand

(4 x^{4} - y^{5})^{2}

16 x^{8} - 8 x^{4} y^{5} + y^{10}

Solution steps

(4 x^{4} - y^{5})^{2}

Apply Perfect Square Formula:

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

(4 x^{4} - y^{5})^{2} = (4 x^{4})^{2} - 2 \cdot 4 x^{4} y^{5} + (y^{5})^{2}

= (4 x^{4})^{2} - 2 \cdot 4 x^{4} y^{5} + (y^{5})^{2}

Simplify

(4 x^{4})^{2} - 2 \cdot 4 x^{4} y^{5} + (y^{5})^{2} : 16 x^{8} - 8 x^{4} y^{5} + y^{10}

= 16 x^{8} - 8 x^{4} y^{5} + y^{10}

\frac{5}{x + 5} + \frac{4 x}{2 x + 6}

\frac{8 - 14 i}{1 - 3 i}

lo g_{e} (x^{2})

12 x^{2} + 12 x - 3

(9 - i) + (- 6 + 7 i)

What is expand (4x^4-y^5)^2 ?
The solution to expand (4x^4-y^5)^2 is 16x^8-8x^4y^5+y^{10}