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

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

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

expand

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

9 x^{8} - 30 x^{4} y^{2} + 25 y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 9 x^{8} - 30 x^{4} y^{2} + 25 y^{4}

\frac{6}{h} - \frac{5}{h}

9 \frac{4}{5} - 4 \frac{1}{6}

2 7 x \cdot 3 14 x^{2}

35 \cdot 5

(a + 10)^{3}

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