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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

2 x \cdot 2 x + 2 x y + 2 x (- 3 z) + y \cdot 2 x + yy + y (- 3 z) - 3 z \cdot 2 x - 3 zy - 3 z (- 3 z) : 4 x^{2} + 4 x y - 12 x z + y^{2} - 6 yz + 9 z^{2}

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

62

(1 + 32) - (4 - 50)

s (s^{2} + 10 s + 5)

\frac{21}{7}

2 x^{2} + 5 x + 7 + (- 10) x^{2} - 7 x + 1

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