化简 (Fx+G)(x-3)(5x^2)(x^2+25)(x^2+1)^2

解答

化简

(F x + G) (x - 3) (5 x^{2}) (x^{2} + 25) (x^{2} + 1)^{2}

5 x^{2} (x - 3) (x^{2} + 1)^{2} (x^{2} + 25) (G + F x)

求解步骤

(F x + G) (x - 3) (5 x^{2}) (x^{2} + 25) (x^{2} + 1)^{2}

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

x^{2} (x^{2} + 1)^{2} = (x (x^{2} + 1))^{2}

= 5 (G + F x) (x - 3) (x (x^{2} + 1))^{2} (x^{2} + 25)

(x (x^{2} + 1))^{2} = x^{2} (x^{2} + 1)^{2}

= 5 x^{2} (G + F x) (x - 3) (x^{2} + 1)^{2} (x^{2} + 25)

s im pl i f y 1200 e^{- 0.3}

s im pl i f y 1^{3} \cdot e^{- 3 \cdot 1}

s im pl i f y \frac{( 1.5 ) ^{3}}{( 0.3 ) ^{3}}

s im pl i f y (x^{2} + 3 x) (x^{2} + 3 x)

s im pl i f y (\frac{4}{7})^{2}