化简 ((a+sqrt(a*b))^2)/(c(a-b))

解答

化简

\frac{( a + a \cdot b ) ^{2}}{c ( a - b )}

\frac{a ^{2} + 2 a ab + ab}{c ( a - b )}

求解步骤

\frac{( a + ab ) ^{2}}{c ( a - b )}

使用完全平方公式:

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

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

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

化简

(ab)^{2} : ab

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

e x p an d - a \cdot (ln (b \cdot N) + 1)

e x p an d 2 (x + y) d x - x (x + 2 y - 2) d y

e x p an d (2 - m) ln (3 x + 100)

e x p an d \frac{2 ( x ^{2} - 2 ln ( x ^{2} + 1 ) ( x ^{2} + 1 ) )}{3 x ^{5} ( x ^{2} + 1 )}

e x p an d \frac{x ^{2} + x + 3}{( x + 1 ) ( x ^{2} - 7 x + 1 )}