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

The solution to (-1+h)^2+4(-1+h)-(-3) is h^2+2h

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simplify (-1+h)^2+4(-1+h)-(-3)

simplify

(- 1 + h)^{2} + 4 (- 1 + h) - (- 3)

h^{2} + 2 h

Solution steps

(- 1 + h)^{2} + 4 (- 1 + h) - (- 3)

Apply rule:

a - (- b) = a + b

4 (- 1 + h) - (- 3) = 4 (- 1 + h) + 3

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

Expand

(- 1 + h)^{2} : 1 - 2 h + h^{2}

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

Expand

4 (- 1 + h) : - 4 + 4 h

= 1 - 2 h + h^{2} - 4 + 4 h + 3

Group like terms

= h^{2} - 2 h + 4 h + 1 - 4 + 3

Add similar elements:

- 2 h + 4 h = 2 h

= h^{2} + 2 h + 1 - 4 + 3

Add the numbers:

1 - 4 + 3 = 0

= h^{2} + 2 h

1 - \frac{19}{20}

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