展开 3b(sqrt(a+bx)(a+bx))

解答

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3 b (a + b x (a + b x))

3 ba a + b x + 3 b^{2} x a + b x

求解步骤

3 b (a + b x (a + b x))

去除括号:

(a) = a

= 3 b a + b x (a + b x)

= 3 b (a + b x) a + b x

使用分配律:

a (b + c) = ab + a c

a = 3 b a + b x, b = a, c = b x

= 3 b a + b x a + 3 b a + b x b x

= 3 ba a + b x + 3 bb x a + b x

3 bb x a + b x = 3 b^{2} x a + b x

= 3 ba a + b x + 3 b^{2} x a + b x

e x p an d 6 y + 3 - 2 (- 7 y - 5 = 5 (7 y - 1))

e x p an d \frac{ab + c}{ab}

e x p an d \frac{3 x + 18}{4 ( x ^{2} - 2 x - 4 )}

e x p an d \frac{6}{( s + 8 ) ( s - 4 )}

e x p an d (a + b) (c + d + e) (a + b)