展开 (3x^3+y^2)^2

解答

展开

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

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

求解步骤

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

使用完全平方公式:

(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}

化简

(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}

s im pl i f y 38 \cdot (- 410)

s im pl i f y \frac{3 15}{6 80}

s im pl i f y \frac{2 x - 1}{x + 4} - 1

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

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