展开 (a+h+sqrt(a+h))^2

解答

展开

(a + h + a + h)^{2}

a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

求解步骤

(a + h + a + h)^{2}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(a + h + a + h)^{2} = (a + h + a + h) (a + h + a + h)

= (a + h + a + h) (a + h + a + h)

打开括号

= aa + ah + a a + h + ha + hh + h a + h + a + h a + a + h h + a + h a + h

化简

aa + ah + a a + h + ha + hh + h a + h + a + h a + a + h h + a + h a + h : a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

= a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

e x p an d \frac{x ^{2} - 11 x + 6}{( x + 2 ) ( x ^{2} - 4 x + 4 )}

e x p an d A (- 2, - 3) B (- 2, 3)

e x p an d (s + 16 + 9 i) (s + 16 - 9 i)

e x p an d \frac{\partial}{\partial x} (2 x) + 3 y^{2} (1 + x)^{2}

s im pl i f y (x - 9 + 1)^{2}