What is expand (3x^3+y^2)^2 ?

The solution to expand (3x^3+y^2)^2 is 9x^6+6x^3y^2+y^4

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expand (3x^3+y^2)^2

expand

(3 x^{3} + y^{2})^{2}

9 x^{6} + 6 x^{3} y^{2} + y^{4}

Solution steps

(3 x^{3} + y^{2})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x^{3})^{2} + 2 \cdot 3 x^{3} y^{2} + (y^{2})^{2} : 9 x^{6} + 6 x^{3} y^{2} + y^{4}

= 9 x^{6} + 6 x^{3} y^{2} + y^{4}

38 \cdot (- 410)

\frac{3 15}{6 80}

\frac{2 x - 1}{x + 4} - 1

\frac{5}{9} \div \frac{10}{7}

\frac{2}{5} \div \frac{1}{10}

What is expand (3x^3+y^2)^2 ?
The solution to expand (3x^3+y^2)^2 is 9x^6+6x^3y^2+y^4