What is (-3x+6)^2-(-3x+6)+5 ?

The solution to (-3x+6)^2-(-3x+6)+5 is 9x^2-33x+35

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simplify (-3x+6)^2-(-3x+6)+5

simplify

(- 3 x + 6)^{2} - (- 3 x + 6) + 5

9 x^{2} - 33 x + 35

Solution steps

(- 3 x + 6)^{2} - (- 3 x + 6) + 5

Apply the distributive law:

- (- a + b) = a - b

- (- 3 x + 6) = 3 x - 6

= (- 3 x + 6)^{2} + 3 x - 6 + 5

Expand

(- 3 x + 6)^{2} : 9 x^{2} - 36 x + 36

= 9 x^{2} - 36 x + 36 + 3 x - 6 + 5

Group like terms

= 9 x^{2} - 36 x + 3 x + 36 - 6 + 5

Add similar elements:

- 36 x + 3 x = - 33 x

= 9 x^{2} - 33 x + 36 - 6 + 5

Add the numbers:

36 - 6 + 5 = 35

= 9 x^{2} - 33 x + 35

3 x^{2} - 5 x - 100

2 a^{2} - 4 a - 6

1 + 3 - 4 + 4

2 (2 + 1)

8 + 98

What is (-3x+6)^2-(-3x+6)+5 ?
The solution to (-3x+6)^2-(-3x+6)+5 is 9x^2-33x+35