What is expand (3a^4-5b^2)^2 ?

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

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expand (3a^4-5b^2)^2

expand

(3 a^{4} - 5 b^{2})^{2}

9 a^{8} - 30 a^{4} b^{2} + 25 b^{4}

Solution steps

(3 a^{4} - 5 b^{2})^{2}

Apply Perfect Square Formula:

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

(3 a^{4} - 5 b^{2})^{2} = (3 a^{4})^{2} - 2 \cdot 3 a^{4} \cdot 5 b^{2} + (5 b^{2})^{2}

= (3 a^{4})^{2} - 2 \cdot 3 a^{4} \cdot 5 b^{2} + (5 b^{2})^{2}

Simplify

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

= 9 a^{8} - 30 a^{4} b^{2} + 25 b^{4}

2 (x + 7) + 3 (x + 1)

(2 x - 3) (2 x - 3)

\frac{4 x ^{2} y}{- 2 x y}

\frac{27}{5}

x (a + 1) - a - 1

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