Solve 4(P)^(2)-4q+6(P)^(2)-(5(P)^(2)-2q) | 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

$$4 { P }^{ 2 } -4q+6 { P }^{ 2 } -(5 { P }^{ 2 } -2q)$$

Evaluate

$5P^{2}-2q$

Solution Steps

Combine $4P^{2}$ and $6P^{2}$ to get $10P^{2}$.

$$10P^{2}-4q-\left(5P^{2}-2q\right)$$

To find the opposite of $5P^{2}-2q$, find the opposite of each term.

$$10P^{2}-4q-5P^{2}+2q$$

Combine $10P^{2}$ and $-5P^{2}$ to get $5P^{2}$.

$$5P^{2}-4q+2q$$

Combine $-4q$ and $2q$ to get $-2q$.

$$5P^{2}-2q$$

Expand

$5P^{2}-2q$

Solution Steps

Combine $4P^{2}$ and $6P^{2}$ to get $10P^{2}$.

$$10P^{2}-4q-\left(5P^{2}-2q\right)$$

To find the opposite of $5P^{2}-2q$, find the opposite of each term.

$$10P^{2}-4q-5P^{2}+2q$$

Combine $10P^{2}$ and $-5P^{2}$ to get $5P^{2}$.

$$5P^{2}-4q+2q$$

Combine $-4q$ and $2q$ to get $-2q$.

$$5P^{2}-2q$$