What is (y-a)(y-sqrt(3)z+2a)(y+sqrt(3)z+2a) ?

The solution to (y-a)(y-sqrt(3)z+2a)(y+sqrt(3)z+2a) is (y-a)(y^2+4a^2+4ay-3z^2)

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

simplify

(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})

Solution steps

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

Distribute parentheses

= (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)

Simplify

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})

x (x - 4) (x + \frac{1}{2})

(x = - 1, - 5 i) (y = 5 - i)

(2 x + 1)^{2}

(x^{2} - y^{2}) d x + (x^{2} - 2 x y) d y

(2 + 3)^{4}

What is (y-a)(y-sqrt(3)z+2a)(y+sqrt(3)z+2a) ?
The solution to (y-a)(y-sqrt(3)z+2a)(y+sqrt(3)z+2a) is (y-a)(y^2+4a^2+4ay-3z^2)