What is expand (x+2y+3z)^2 ?

The solution to expand (x+2y+3z)^2 is x^2+4xy+6xz+4y^2+12yz+9z^2

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expand (x+2y+3z)^2

expand

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

x^{2} + 4 x y + 6 x z + 4 y^{2} + 12 yz + 9 z^{2}

Solution steps

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

Apply exponent rule:

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

(x + 2 y + 3 z)^{2} = (x + 2 y + 3 z) (x + 2 y + 3 z)

= (x + 2 y + 3 z) (x + 2 y + 3 z)

Distribute parentheses

= xx + x \cdot 2 y + x \cdot 3 z + 2 y x + 2 y \cdot 2 y + 2 y \cdot 3 z + 3 z x + 3 z \cdot 2 y + 3 z \cdot 3 z

Simplify

xx + x \cdot 2 y + x \cdot 3 z + 2 y x + 2 y \cdot 2 y + 2 y \cdot 3 z + 3 z x + 3 z \cdot 2 y + 3 z \cdot 3 z : x^{2} + 4 x y + 6 x z + 4 y^{2} + 12 yz + 9 z^{2}

= x^{2} + 4 x y + 6 x z + 4 y^{2} + 12 yz + 9 z^{2}

\frac{( x ^{3} - 8 )}{( x - 2 )}

lo g_{2} (30)

\frac{2}{x ^{2} - 49} - \frac{7}{x - 7}

(- 2 - x)^{2}

2 (x + h)^{3}

What is expand (x+2y+3z)^2 ?
The solution to expand (x+2y+3z)^2 is x^2+4xy+6xz+4y^2+12yz+9z^2