展开 sqrt(x^2+x+4)*(3x^2-4x)

解答

展开

x^{2} + x + 4 \cdot (3 x^{2} - 4 x)

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

求解步骤

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

使用分配律:

a (b - c) = ab - a c

x^{2} + x + 4 (3 x^{2} - 4 x) = x^{2} + x + 4 \cdot 3 x^{2} - x^{2} + x + 4 \cdot 4 x

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

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

s im pl i f y 22 (- 2 + 1)

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

\frac{d ^{3}}{d y d x ^{2}} ((f (y, x)) (2 x^{3} + x^{2} y^{4} - 5 y^{2}))

e x p an d \frac{3}{( 4 + 9 e ^{5 x} ) ^{4}}

s im pl i f y (x - 14 - 27) (x - 14 + 27)