What is expand (3x^4-5xy^3)^2 ?

The solution to expand (3x^4-5xy^3)^2 is 9x^8-30x^5y^3+25x^2y^6

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expand (3x^4-5xy^3)^2

expand

(3 x^{4} - 5 x y^{3})^{2}

9 x^{8} - 30 x^{5} y^{3} + 25 x^{2} y^{6}

Solution steps

(3 x^{4} - 5 x y^{3})^{2}

Apply Perfect Square Formula:

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

(3 x^{4} - 5 x y^{3})^{2} = (3 x^{4})^{2} - 2 \cdot 3 x^{4} \cdot 5 x y^{3} + (5 x y^{3})^{2}

= (3 x^{4})^{2} - 2 \cdot 3 x^{4} \cdot 5 x y^{3} + (5 x y^{3})^{2}

Simplify

(3 x^{4})^{2} - 2 \cdot 3 x^{4} \cdot 5 x y^{3} + (5 x y^{3})^{2} : 9 x^{8} - 30 x^{5} y^{3} + 25 x^{2} y^{6}

= 9 x^{8} - 30 x^{5} y^{3} + 25 x^{2} y^{6}

- 12 - 13

\frac{- 5 x}{7 y}

x + 5 \cdot x + 5

(2^{4} \cdot 1 6^{- 2})^{3}

- 7 - 25

What is expand (3x^4-5xy^3)^2 ?
The solution to expand (3x^4-5xy^3)^2 is 9x^8-30x^5y^3+25x^2y^6