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

The solution to (-7x^2+4x+2)-(-4x+1) is -7x^2+8x+1

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

simplify

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

- 7 x^{2} + 8 x + 1

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

- (- 4 x + 1) = 4 x - 1

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

Group like terms

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

Add similar elements:

4 x + 4 x = 8 x

= - 7 x^{2} + 8 x + 2 - 1

Subtract the numbers:

2 - 1 = 1

= - 7 x^{2} + 8 x + 1

6 y (5 - \frac{11}{8} y)

\frac{15 s g}{- 5 g}

\frac{28}{9}

(- 8 x^{5} - 6 x^{2} - 3) - (- 4 x^{3} + 2)

\frac{1}{10} \div \frac{7}{2}

What is (-7x^2+4x+2)-(-4x+1) ?
The solution to (-7x^2+4x+2)-(-4x+1) is -7x^2+8x+1