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

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

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expand (x+4y+z)^2

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

= (x + 4 y + z) (x + 4 y + z)

Distribute parentheses

= xx + x \cdot 4 y + x z + 4 y x + 4 y \cdot 4 y + 4 yz + z x + z \cdot 4 y + zz

Simplify

xx + x \cdot 4 y + x z + 4 y x + 4 y \cdot 4 y + 4 yz + z x + z \cdot 4 y + zz : x^{2} + 2 x z + 8 x y + 16 y^{2} + 8 yz + z^{2}

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

\frac{1.999 9 ^{2} - 4}{1.9999 - 2}

5 x^{3} + x^{2} + 5 x + 1

(10 x - 5) - (8 x - 6)

- (- 6 + (- y))

(5 + 2)^{2}

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