化简 (y-a)(y-sqrt(3)z+2a)(y+sqrt(3)z+2a)

解答

化简

(y - a) (y - 3 z + 2 a) (y + 3 z + 2 a)

(y - a) (y^{2} + 4 a^{2} + 4 a y - 3 z^{2})

求解步骤

(y - a) (y - 3 z + 2 a) (y + 3 z + 2 a)

打开括号

= (y - a) (yy + y 3 z + y \cdot 2 a - 3 zy - 3 z 3 z - 3 z \cdot 2 a + 2 a y + 2 a 3 z + 2 a \cdot 2 a)

化简

yy + y 3 z + y \cdot 2 a - 3 zy - 3 z 3 z - 3 z \cdot 2 a + 2 a y + 2 a 3 z + 2 a \cdot 2 a : y^{2} + 4 a^{2} + 4 a y - 3 z^{2}

= (y - a) (y^{2} + 4 a^{2} + 4 a y - 3 z^{2})

e x p an d x (x - 4) (x + \frac{1}{2})

e x p an d (x = - 1, - 5 i) (y = 5 - i)

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

e x p an d (x^{2} - y^{2}) d x + (x^{2} - 2 x y) d y

e x p an d (2 + 3)^{4}