What is expand (3a^2+5x^3)^2 ?

The solution to expand (3a^2+5x^3)^2 is 9a^4+30a^2x^3+25x^6

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expand (3a^2+5x^3)^2

expand

(3 a^{2} + 5 x^{3})^{2}

9 a^{4} + 30 a^{2} x^{3} + 25 x^{6}

Solution steps

(3 a^{2} + 5 x^{3})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 9 a^{4} + 30 a^{2} x^{3} + 25 x^{6}

4 x^{2} + 7 x

12 x^{2} - 20 x + 7

3^{- 2 + 1}

0 \times 44

- \frac{3}{7} \div \frac{3}{8}

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