展开 (3-y^2)^2

解答

展开

(3 - y^{2})^{2}

9 - 6 y^{2} + y^{4}

求解步骤

(3 - y^{2})^{2}

使用完全平方公式:

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

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

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

化简

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

= 9 - 6 y^{2} + y^{4}

s im pl i f y - (- 2) - 2

s im pl i f y 4 - 2 ∣ 12 - 3 (4 + 1) ∣

e x p an d (a^{2} - b^{2}) (a + b)

s im pl i f y \frac{6 x ^{2} + 3 x}{4 x ^{2} - 1}

f a c t or 15 - 3 x