化简 (2a+sqrt(b))^2

解答

化简

(2 a + b)^{2}

4 a^{2} + 4 a b + b

求解步骤

(2 a + b)^{2}

使用完全平方公式:

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

(2 a + b)^{2} = (2 a)^{2} + 2 \cdot 2 a b + (b)^{2}

= (2 a)^{2} + 2 \cdot 2 a b + (b)^{2}

(2 a)^{2} = 4 a^{2}

2 \cdot 2 a b = 4 a b

(b)^{2} = b

= 4 a^{2} + 4 a b + b

s im pl i f y x (x + 1)

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

e x p an d \frac{2 x ^{2}}{( x + 2 ) ^{2}}

e x p an d u (1, 2, 3) (- 1, - 2, - 3)

e x p an d (8 (a + b) + 6 (- z - y)) (8 (a + b) + 6 (y + z))