展开 ((X-4)sqrt(X-1))*(5sqrt(3)+5sqrt(X-1))

解答

展开

((X - 4) X - 1) \cdot (53 + 5 X - 1)

5 X 3 X - 3 - 20 3 X - 3 + 5 X^{2} - 25 X + 20

求解步骤

((X - 4) X - 1) (53 + 5 X - 1)

使用分配律:

a (b + c) = ab + a c

((X - 4) X - 1) (53 + 5 X - 1) = (X - 4) X - 1 \cdot 53 + (X - 4) X - 1 \cdot 5 X - 1

= (X - 4) X - 1 \cdot 53 + (X - 4) X - 1 \cdot 5 X - 1

化简

(X - 4) X - 1 \cdot 53 + (X - 4) X - 1 \cdot 5 X - 1 : 5 X 3 X - 3 - 20 3 X - 3 + 5 X^{2} - 25 X + 20

= 5 X 3 X - 3 - 20 3 X - 3 + 5 X^{2} - 25 X + 20

e x p an d \frac{( 1 + 3 j ) ( 1 + 7 j )}{( 7 - 9 j ) ( 2 - j )}

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

e x p an d \frac{3 ( 2 x y - x ^{2} \frac{d y}{d x} )}{2 y ^{2}}

e x p an d (1 + cot (\frac{5 π}{18})) l e f t (1 + tan (\frac{π}{36}))

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