化简 x(x-5)(x+5-2sqrt(2))(x+5+2sqrt(2))

解答

化简

x (x - 5) (x + 5 - 22) (x + 5 + 22)

x (x - 5) (x^{2} + 10 x + 17)

求解步骤

x (x - 5) (x + 5 - 22) (x + 5 + 22)

打开括号

= x (x - 5) (xx + x \cdot 5 + x \cdot 22 + 5 x + 5 \cdot 5 + 5 \cdot 22 - 22 x - 22 \cdot 5 - 22 \cdot 22)

化简

xx + x \cdot 5 + x \cdot 22 + 5 x + 5 \cdot 5 + 5 \cdot 22 - 22 x - 22 \cdot 5 - 22 \cdot 22 : x^{2} + 10 x + 17

= x (x - 5) (x^{2} + 10 x + 17)

s im pl i f y 100 (\frac{b ^{2}}{8} + 75 (\frac{b}{2} + 25))

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

\frac{d}{d s} ((z) (3 x^{2} + y^{2} + 2 z^{4} - 10))

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

s im pl i f y - 9 (3 - 4)