展开 (5x^2-y)^2

解答

展开

(5 x^{2} - y)^{2}

25 x^{4} - 10 x^{2} y + y^{2}

求解步骤

(5 x^{2} - y)^{2}

使用完全平方公式:

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

(5 x^{2} - y)^{2} = (5 x^{2})^{2} - 2 \cdot 5 x^{2} y + y^{2}

= (5 x^{2})^{2} - 2 \cdot 5 x^{2} y + y^{2}

化简

(5 x^{2})^{2} - 2 \cdot 5 x^{2} y + y^{2} : 25 x^{4} - 10 x^{2} y + y^{2}

= 25 x^{4} - 10 x^{2} y + y^{2}

s im pl i f y \frac{5 - 80 x ^{2}}{10}

s im pl i f y \frac{5}{7} \cdot \frac{3}{4}

- 3 \frac{1}{4}

s im pl i f y 5 x^{2} + 6 x - 3 + 4 x^{2} - 8 x + 2

\frac{79}{8}