What is expand (4x-y-z)^2 ?

The solution to expand (4x-y-z)^2 is 16x^2+2yz-8xy-8xz+y^2+z^2

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expand (4x-y-z)^2

expand

(4 x - y - z)^{2}

16 x^{2} + 2 yz - 8 x y - 8 x z + y^{2} + z^{2}

Solution steps

(4 x - y - z)^{2}

Apply exponent rule:

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

(4 x - y - z)^{2} = (4 x - y - z) (4 x - y - z)

= (4 x - y - z) (4 x - y - z)

Distribute parentheses

= 4 x \cdot 4 x + 4 x (- y) + 4 x (- z) - y \cdot 4 x - y (- y) - y (- z) - z \cdot 4 x - z (- y) - z (- z)

Simplify

4 x \cdot 4 x + 4 x (- y) + 4 x (- z) - y \cdot 4 x - y (- y) - y (- z) - z \cdot 4 x - z (- y) - z (- z) : 16 x^{2} + 2 yz - 8 x y - 8 x z + y^{2} + z^{2}

= 16 x^{2} + 2 yz - 8 x y - 8 x z + y^{2} + z^{2}

8 x^{2} + 12 x y + 18 y^{2}

12 w^{2} + 2 w - 4

4 x^{7} + 4 x

a^{2} (2 x - 4 y)^{2} - b^{2} (2 y - x)^{2}

(x - 3 y)^{3} + (2 x + y)^{3}

What is expand (4x-y-z)^2 ?
The solution to expand (4x-y-z)^2 is 16x^2+2yz-8xy-8xz+y^2+z^2