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

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

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

simplify

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

9 x^{2} - 33 x + 33

Solution steps

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

Apply rule:

a + (b + c) = a + b + c

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

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

Add the numbers:

5 + 3 = 8

= (- 3 x + 5)^{2} - 3 x + 8

Expand

(- 3 x + 5)^{2} : 9 x^{2} - 30 x + 25

= 9 x^{2} - 30 x + 25 - 3 x + 8

Group like terms

= 9 x^{2} - 30 x - 3 x + 25 + 8

Add similar elements:

- 30 x - 3 x = - 33 x

= 9 x^{2} - 33 x + 25 + 8

Add the numbers:

25 + 8 = 33

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

\frac{1}{2} x \cdot 2 x

(3 x^{2} + 4 y^{3})^{3}

3 (8 - 4 b)^{3}

\frac{8}{9} - \frac{1}{2}

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