Simplify (4x^2+x-5)-(5x^2-1)

$(4 x^{2} + x - 5) - (5 x^{2} - 1)$

Simplify each term.

Apply the distributive property.

$4 x^{2} + x - 5 - (5 x^{2}) - - 1$

Multiply $5$ by $- 1$ .

$4 x^{2} + x - 5 - 5 x^{2} - - 1$

Multiply $- 1$ by $- 1$ .

$4 x^{2} + x - 5 - 5 x^{2} + 1$

$4 x^{2} + x - 5 - 5 x^{2} + 1$

Simplify by adding terms.

Subtract $5 x^{2}$ from $4 x^{2}$ .

$- x^{2} + x - 5 + 1$

Add $- 5$ and $1$ .

$- x^{2} + x - 4$

$- x^{2} + x - 4$

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