展开 (2sqrt(x)+5)(7sqrt(x-6))

解答

展开

(2 x + 5) (7 x - 6)

14 x^{2} - 6 x + 35 x - 6

求解步骤

(2 x + 5) (7 x - 6)

= (7 x - 6) (2 x + 5)

使用分配律:

a (b + c) = ab + a c

(7 x - 6) (2 x + 5) = 7 x - 6 \cdot 2 x + 7 x - 6 \cdot 5

= 7 x - 6 \cdot 2 x + 7 x - 6 \cdot 5

化简

7 x - 6 \cdot 2 x + 7 x - 6 \cdot 5 : 14 x^{2} - 6 x + 35 x - 6

= 14 x^{2} - 6 x + 35 x - 6

e x p an d (1 + 5)^{2}

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

s im pl i f y 11 (11 + x 33)

s im pl i f y 6 (2 x - 1)^{2} - 2 x \cdot cos (x^{2}) - (\frac{7}{3})^{\frac{4}{3}}

s im pl i f y (\frac{s}{2} + 1) (\frac{s}{8} + 1)