展开 (sqrt((36^2-y^2))-13.5)^2

解答

展开

((3 6^{2} - y^{2}) - 13.5)^{2}

- y^{2} - 27 3 6^{2} - y^{2} + 1478.25

求解步骤

(3 6^{2} - y^{2} - 13.5)^{2}

化简

3 6^{2} - y^{2} - 13.5 : 3 6^{2} - y^{2} - 13.5

= (3 6^{2} - y^{2} - 13.5)^{2}

使用完全平方公式:

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

(3 6^{2} - y^{2} - 13.5)^{2} = (3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2}

= (3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2}

化简

(3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2} : - y^{2} - 27 3 6^{2} - y^{2} + 1478.25

= - y^{2} - 27 3 6^{2} - y^{2} + 1478.25

e x p an d 2 (x - y) (1 - \frac{d y}{d x})

e x p an d \frac{x}{( 1 + 3 x ^{2} ) ^{2}}

e x p an d \frac{( x + 1 ) ^{4}}{4}

e x p an d lo g_{2} (4 w z)

e x p an d \frac{x ^{2} - 3}{( s + 2 ) ( x ^{2} + 2 x + 1 )}