What is (-2x+7)^2-(3x-6)+4x ?

The solution to (-2x+7)^2-(3x-6)+4x is 4x^2-27x+55

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simplify (-2x+7)^2-(3x-6)+4x

simplify

(- 2 x + 7)^{2} - (3 x - 6) + 4 x

4 x^{2} - 27 x + 55

Solution steps

(- 2 x + 7)^{2} - (3 x - 6) + 4 x

Apply the distributive law:

- (a - b) = - a + b

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

= (- 2 x + 7)^{2} - 3 x + 6 + 4 x

Expand

(- 2 x + 7)^{2} : 4 x^{2} - 28 x + 49

= 4 x^{2} - 28 x + 49 - 3 x + 6 + 4 x

Group like terms

= 4 x^{2} - 28 x - 3 x + 4 x + 49 + 6

Add similar elements:

- 28 x - 3 x + 4 x = - 27 x

= 4 x^{2} - 27 x + 49 + 6

Add the numbers:

49 + 6 = 55

= 4 x^{2} - 27 x + 55

\frac{( x ^{- 3} )}{( x ^{3} )}

8 x y^{2} - 18 x y

(6 x - y)^{3} - (6 x + y)^{3}

5 (a + b)

\frac{( p \cdot x ^{p - 1} )}{( q \cdot ( x ^{\frac{p}{q}} ) ^{q - 1} )}

What is (-2x+7)^2-(3x-6)+4x ?
The solution to (-2x+7)^2-(3x-6)+4x is 4x^2-27x+55