簡約 (4+x)/((42-2x)^2(30-x))-0.015

解

簡約

\frac{4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )} - 0.015

\frac{0.06 x ^{3} - 4.32 x ^{2} + 103.06 x - 789.8}{( 42 - 2 x ) ^{2} ( 30 - x )}

解答ステップ

\frac{4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )} - 0.015

分数の規則を適用する:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{- 0.015 ( 42 - 2 x ) ^{2} ( 30 - x ) + 4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )}

簡素化

- 0.015 (42 - 2 x)^{2} (30 - x) + 4 + x : 0.06 x^{3} - 4.32 x^{2} + 103.06 x - 789.8

= \frac{0.06 x ^{3} - 4.32 x ^{2} + 103.06 x - 789.8}{( 42 - 2 x ) ^{2} ( 30 - x )}