What is p(x-3y)+(x-2p)(x-3y) ?

The solution to p(x-3y)+(x-2p)(x-3y) is x^2-px+3py-3xy

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simplify p(x-3y)+(x-2p)(x-3y)

simplify

p (x - 3 y) + (x - 2 p) (x - 3 y)

x^{2} - p x + 3 p y - 3 x y

Solution steps

p (x - 3 y) + (x - 2 p) (x - 3 y)

Expand

p (x - 3 y) : p x - 3 p y

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

Expand

(x - 2 p) (x - 3 y) : x^{2} - 3 x y - 2 p x + 6 p y

= p x - 3 p y + x^{2} - 3 x y - 2 p x + 6 p y

Group like terms

= x^{2} + p x - 2 p x - 3 p y + 6 p y - 3 x y

Add similar elements:

p x - 2 p x = - p x

= x^{2} - p x - 3 p y + 6 p y - 3 x y

Add similar elements:

- 3 p y + 6 p y = 3 p y

= x^{2} - p x + 3 p y - 3 x y

9^{2} - x

(2 - 1) (2 + 1)

(2 n + 2) (2 n - 2)

36 x^{2} - 24 x - 24

What is p(x-3y)+(x-2p)(x-3y) ?
The solution to p(x-3y)+(x-2p)(x-3y) is x^2-px+3py-3xy