What is expand (2x-y+5z-15)^2 ?

The solution to expand (2x-y+5z-15)^2 is 4x^2-4xy+20xz-60x+y^2-10yz+30y+25z^2-150z+225

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expand (2x-y+5z-15)^2

expand

(2 x - y + 5 z - 15)^{2}

4 x^{2} - 4 x y + 20 x z - 60 x + y^{2} - 10 yz + 30 y + 25 z^{2} - 150 z + 225

Solution steps

(2 x - y + 5 z - 15)^{2}

Apply exponent rule:

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

(2 x - y + 5 z - 15)^{2} = (2 x - y + 5 z - 15) (2 x - y + 5 z - 15)

= (2 x - y + 5 z - 15) (2 x - y + 5 z - 15)

Distribute parentheses

= 2 x \cdot 2 x + 2 x (- y) + 2 x \cdot 5 z + 2 x (- 15) - y \cdot 2 x - y (- y) - y \cdot 5 z - y (- 15) + 5 z \cdot 2 x + 5 z (- y) + 5 z \cdot 5 z + 5 z (- 15) - 15 \cdot 2 x - 15 (- y) - 15 \cdot 5 z - 15 (- 15)

Simplify

2 x \cdot 2 x + 2 x (- y) + 2 x \cdot 5 z + 2 x (- 15) - y \cdot 2 x - y (- y) - y \cdot 5 z - y (- 15) + 5 z \cdot 2 x + 5 z (- y) + 5 z \cdot 5 z + 5 z (- 15) - 15 \cdot 2 x - 15 (- y) - 15 \cdot 5 z - 15 (- 15) : 4 x^{2} - 4 x y + 20 x z - 60 x + y^{2} - 10 yz + 30 y + 25 z^{2} - 150 z + 225

= 4 x^{2} - 4 x y + 20 x z - 60 x + y^{2} - 10 yz + 30 y + 25 z^{2} - 150 z + 225

(\frac{1}{4 x + 2 y})^{3}

2^{x} + 2^{- x}

1331 y^{3} - 343 z^{3}

5 x^{3} z + 7 x^{2} z

(\frac{1 + h}{r})^{- 2}

What is expand (2x-y+5z-15)^2 ?
The solution to expand (2x-y+5z-15)^2 is 4x^2-4xy+20xz-60x+y^2-10yz+30y+25z^2-150z+225