What is expand (2x^5-y^3)^2 ?

The solution to expand (2x^5-y^3)^2 is 4x^{10}-4x^5y^3+y^6

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expand (2x^5-y^3)^2

expand

(2 x^{5} - y^{3})^{2}

4 x^{10} - 4 x^{5} y^{3} + y^{6}

Solution steps

(2 x^{5} - y^{3})^{2}

Apply Perfect Square Formula:

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

(2 x^{5} - y^{3})^{2} = (2 x^{5})^{2} - 2 \cdot 2 x^{5} y^{3} + (y^{3})^{2}

= (2 x^{5})^{2} - 2 \cdot 2 x^{5} y^{3} + (y^{3})^{2}

Simplify

(2 x^{5})^{2} - 2 \cdot 2 x^{5} y^{3} + (y^{3})^{2} : 4 x^{10} - 4 x^{5} y^{3} + y^{6}

= 4 x^{10} - 4 x^{5} y^{3} + y^{6}

\frac{1}{5} \times \frac{1}{4}

315 \times \frac{π}{180}

11 \div \frac{1}{4}

2 i - (3 + 2 i)

\frac{1 0 ^{- 1}}{2 ^{- 5} \times 5 ^{- 1}}

What is expand (2x^5-y^3)^2 ?
The solution to expand (2x^5-y^3)^2 is 4x^{10}-4x^5y^3+y^6