What is expand (3c^4-5c^6)^2 ?

The solution to expand (3c^4-5c^6)^2 is 9c^8-30c^{10}+25c^{12}

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expand (3c^4-5c^6)^2

expand

(3 c^{4} - 5 c^{6})^{2}

9 c^{8} - 30 c^{10} + 25 c^{12}

Solution steps

(3 c^{4} - 5 c^{6})^{2}

Apply Perfect Square Formula:

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

(3 c^{4} - 5 c^{6})^{2} = (3 c^{4})^{2} - 2 \cdot 3 c^{4} \cdot 5 c^{6} + (5 c^{6})^{2}

= (3 c^{4})^{2} - 2 \cdot 3 c^{4} \cdot 5 c^{6} + (5 c^{6})^{2}

Simplify

(3 c^{4})^{2} - 2 \cdot 3 c^{4} \cdot 5 c^{6} + (5 c^{6})^{2} : 9 c^{8} - 30 c^{10} + 25 c^{12}

= 9 c^{8} - 30 c^{10} + 25 c^{12}

3 x - 5 x

(a + 1) \times (a + 2)

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

(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)

\frac{36}{6}

What is expand (3c^4-5c^6)^2 ?
The solution to expand (3c^4-5c^6)^2 is 9c^8-30c^{10}+25c^{12}