展开 sqrt(9-x)(x^4+x^3+x^2+x+1)

解答

展开

9 - x (x^{4} + x^{3} + x^{2} + x + 1)

x^{4} 9 - x + x^{3} 9 - x + x^{2} 9 - x + x 9 - x + 9 - x

求解步骤

9 - x (x^{4} + x^{3} + x^{2} + x + 1)

打开括号

= 9 - x x^{4} + 9 - x x^{3} + 9 - x x^{2} + 9 - x x + 9 - x \cdot 1

化简

9 - x x^{4} + 9 - x x^{3} + 9 - x x^{2} + 9 - x x + 9 - x \cdot 1 : x^{4} 9 - x + x^{3} 9 - x + x^{2} 9 - x + x 9 - x + 9 - x

= x^{4} 9 - x + x^{3} 9 - x + x^{2} 9 - x + x 9 - x + 9 - x

e x p an d - \frac{( x + r - 1 ) ( x + r + 2 )}{( x + r ) ( - x + r + 4 )}

e x p an d (y + Δ y)^{2}

e x p an d \frac{3 x + 6}{( x - 2 ) ( x + 4 )}

e x p an d (6 e - 3 f - 4) x^{2}

s im pl i f y (3 x - 1 - 5) (3 x - 1 + 5)