Solve (3a ^ 2 + 6a - 2) - (2a ^ 2 - 8a - 7) | 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

$$(3a^{2}+6a-2)-(2a^{2}-8a-7)$$

Evaluate

$a^{2}+14a+5$

Solution Steps

To find the opposite of $2a^{2}-8a-7$, find the opposite of each term.

$$3a^{2}+6a-2-2a^{2}+8a+7$$

Combine $3a^{2}$ and $-2a^{2}$ to get $a^{2}$.

$$a^{2}+6a-2+8a+7$$

Combine $6a$ and $8a$ to get $14a$.

$$a^{2}+14a-2+7$$

Add $-2$ and $7$ to get $5$.

$$a^{2}+14a+5$$

Expand

$a^{2}+14a+5$

Solution Steps

To find the opposite of $2a^{2}-8a-7$, find the opposite of each term.

$$3a^{2}+6a-2-2a^{2}+8a+7$$

Combine $3a^{2}$ and $-2a^{2}$ to get $a^{2}$.

$$a^{2}+6a-2+8a+7$$

Combine $6a$ and $8a$ to get $14a$.

$$a^{2}+14a-2+7$$

Add $-2$ and $7$ to get $5$.

$$a^{2}+14a+5$$