Solve (18-(x)^(2))-(6(x)^(2)+2+1) | 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

$$(18- { x }^{ 2 } )-(6 { x }^{ 2 } +2+1)$$

Evaluate

$15-7x^{2}$

Solution Steps

Add $2$ and $1$ to get $3$.

$$18-x^{2}-\left(6x^{2}+3\right)$$

To find the opposite of $6x^{2}+3$, find the opposite of each term.

$$18-x^{2}-6x^{2}-3$$

Combine $-x^{2}$ and $-6x^{2}$ to get $-7x^{2}$.

$$18-7x^{2}-3$$

Subtract $3$ from $18$ to get $15$.

$$15-7x^{2}$$

Expand

$15-7x^{2}$

Solution Steps

Add $2$ and $1$ to get $3$.

$$18-x^{2}-\left(6x^{2}+3\right)$$

To find the opposite of $6x^{2}+3$, find the opposite of each term.

$$18-x^{2}-6x^{2}-3$$

Combine $-x^{2}$ and $-6x^{2}$ to get $-7x^{2}$.

$$18-7x^{2}-3$$

Subtract $3$ from $18$ to get $15$.

$$15-7x^{2}$$