展开 (x+3)^2(3/(x+3)+4/((x+3)^2)=1)

解答

展开

(x + 3)^{2} (\frac{3}{x + 3} + \frac{4}{( x + 3 ) ^{2}} = 1)

3 x + 13 = 1

求解步骤

(x + 3)^{2} (\frac{3}{x + 3} + \frac{4}{( x + 3 ) ^{2}} = 1)

= (x + 3)^{2} (\frac{3}{x + 3} + 1 = \frac{4}{( x + 3 ) ^{2}})

使用分配律:

a (b + c) = ab + a c

a = (x + 3)^{2}, b = \frac{3}{x + 3}, c = \frac{4}{( x + 3 ) ^{2}} = 1

(x + 3)^{2} \frac{3}{x + 3} + (x + 3)^{2} \frac{4}{( x + 3 ) ^{2}} = 1

\frac{3}{x + 3} (x + 3)^{2} + \frac{4}{( x + 3 ) ^{2}} (x + 3)^{2} = 1

乘开

\frac{3}{x + 3} (x + 3)^{2} + \frac{4}{( x + 3 ) ^{2}} (x + 3)^{2} : 3 x + 13

3 x + 13 = 1

e x p an d (x^{2} - 7) e^{x}

s im pl i f y (x + \frac{2}{3}) (x - \frac{1}{3})

e x p an d 7 m^{3 n x^{3} m n^{2}}

s im pl i f y (x - 3) (x + 4 + i) (x - 4 - i)

s im pl i f y (3 - 23 x)^{2}