Solve (-5p+7(p)^(2)+9)-(8(p)^(2)+15p-9) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(-5p+7 { p }^{ 2 } +9)-(8 { p }^{ 2 } +15p-9)$$

Evaluate

$18-20p-p^{2}$

Solution Steps

To find the opposite of $8p^{2}+15p-9$, find the opposite of each term.

$$-5p+7p^{2}+9-8p^{2}-15p+9$$

Combine $7p^{2}$ and $-8p^{2}$ to get $-p^{2}$.

$$-5p-p^{2}+9-15p+9$$

Combine $-5p$ and $-15p$ to get $-20p$.

$$-20p-p^{2}+9+9$$

Add $9$ and $9$ to get $18$.

$$-20p-p^{2}+18$$

Expand

$18-20p-p^{2}$

Solution Steps

To find the opposite of $8p^{2}+15p-9$, find the opposite of each term.

$$-5p+7p^{2}+9-8p^{2}-15p+9$$

Combine $7p^{2}$ and $-8p^{2}$ to get $-p^{2}$.

$$-5p-p^{2}+9-15p+9$$

Combine $-5p$ and $-15p$ to get $-20p$.

$$-20p-p^{2}+9+9$$

Add $9$ and $9$ to get $18$.

$$-20p-p^{2}+18$$