化简 (5+sqrt(9x^2+14x+1))^2

解答

化简

(5 + 9 x^{2} + 14 x + 1)^{2}

9 x^{2} + 14 x + 10 9 x^{2} + 14 x + 1 + 26

求解步骤

(5 + 9 x^{2} + 14 x + 1)^{2}

使用完全平方公式:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(5 + 9 x^{2} + 14 x + 1)^{2} = 5^{2} + 2 \cdot 5 9 x^{2} + 14 x + 1 + (9 x^{2} + 14 x + 1)^{2}

= 5^{2} + 2 \cdot 5 9 x^{2} + 14 x + 1 + (9 x^{2} + 14 x + 1)^{2}

化简

5^{2} + 2 \cdot 5 9 x^{2} + 14 x + 1 + (9 x^{2} + 14 x + 1)^{2} : 9 x^{2} + 14 x + 10 9 x^{2} + 14 x + 1 + 26

= 9 x^{2} + 14 x + 10 9 x^{2} + 14 x + 1 + 26

e x p an d C (1, - 1)

e x p an d 2 (25 π - 50)

s im pl i f y (a + ib 5)^{2}

e x p an d s (x) 9000 (1 - e^{- 0.002 x})

e x p an d \frac{5}{4} (20 x + 12 = - 35)