展开 (l^3o^4v^5-6e^3)(l^3o^4v^5+6e^3)

解答

展开

(l^{3} o^{4} v^{5} - 6 e^{3}) (l^{3} o^{4} v^{5} + 6 e^{3})

l^{6} o^{8} v^{10} - 36 e^{6}

求解步骤

(l^{3} o^{4} v^{5} - 6 e^{3}) (l^{3} o^{4} v^{5} + 6 e^{3})

使用平方差公式:

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

a = l^{3} o^{4} v^{5}, b = 6 e^{3}

= (l^{3} o^{4} v^{5})^{2} - (6 e^{3})^{2}

化简

(l^{3} o^{4} v^{5})^{2} - (6 e^{3})^{2} : l^{6} o^{8} v^{10} - 36 e^{6}

= l^{6} o^{8} v^{10} - 36 e^{6}

e x p an d \frac{9 ( a - 2 )}{2 a + 4}

e x p an d (7 + 2) (3 - 8)

e x p an d 20 x (x + 9)^{4} d x

e x p an d \frac{700}{( p + 8 ) ^{4}}

e x p an d \frac{( 2 x - 4 + 3 ) ( x - 2 )}{3}