Simplify (8x^2+7)-(9x^2-2+x^5)

$(8 x^{2} + 7) - (9 x^{2} - 2 + x^{5})$

Step 1

Simplify each term.

Apply the distributive property.

$8 x^{2} + 7 - (9 x^{2}) - - 2 - x^{5}$

Simplify.

Multiply $9$ by $- 1$ .

$8 x^{2} + 7 - 9 x^{2} - - 2 - x^{5}$

Multiply $- 1$ by $- 2$ .

$8 x^{2} + 7 - 9 x^{2} + 2 - x^{5}$

$8 x^{2} + 7 - 9 x^{2} + 2 - x^{5}$

$8 x^{2} + 7 - 9 x^{2} + 2 - x^{5}$

Step 2

Simplify by adding terms.

Subtract $9 x^{2}$ from $8 x^{2}$ .

$- x^{2} + 7 + 2 - x^{5}$

Simplify the expression.

Add $7$ and $2$ .

$- x^{2} + 9 - x^{5}$

Move $9$ .

$- x^{2} - x^{5} + 9$

Reorder $- x^{2}$ and $- x^{5}$ .

$- x^{5} - x^{2} + 9$

$- x^{5} - x^{2} + 9$

$- x^{5} - x^{2} + 9$

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