What is (-4x+3)-(7x-3x^2-1) ?

The solution to (-4x+3)-(7x-3x^2-1) is 3x^2-11x+4

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simplify (-4x+3)-(7x-3x^2-1)

simplify

(- 4 x + 3) - (7 x - 3 x^{2} - 1)

3 x^{2} - 11 x + 4

Solution steps

(- 4 x + 3) - (7 x - 3 x^{2} - 1)

Apply rule:

(a) = a

(- 4 x + 3) = - 4 x + 3

= - 4 x + 3 - (7 x - 3 x^{2} - 1)

Apply the distributive law:

- (a - b) = - a + b

- (7 x - 3 x^{2} - 1) = - 7 x + 3 x^{2} + 1

= - 4 x + 3 - 7 x + 3 x^{2} + 1

Group like terms

= 3 x^{2} - 4 x - 7 x + 3 + 1

Add similar elements:

- 4 x - 7 x = - 11 x

= 3 x^{2} - 11 x + 3 + 1

Add the numbers:

3 + 1 = 4

= 3 x^{2} - 11 x + 4

4 \frac{5}{8}

∣ 4 + (- 9) ∣

1 - \frac{1}{1 - x}

\frac{625}{1000}

9 - 3 (2 x - 4)