Solve (2(x)^(2)5x+4)-((x)^(2)+y-2) | 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

$$(2 { x }^{ 2 } 5x+4)-( { x }^{ 2 } +y-2)$$

Evaluate

$10x^{3}-x^{2}-y+6$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$2x^{3}\times 5+4-\left(x^{2}+y-2\right)$$

Multiply $2$ and $5$ to get $10$.

$$10x^{3}+4-\left(x^{2}+y-2\right)$$

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

$$10x^{3}+4-x^{2}-y+2$$

Add $4$ and $2$ to get $6$.

$$10x^{3}+6-x^{2}-y$$

Expand

$10x^{3}-x^{2}-y+6$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$2x^{3}\times 5+4-\left(x^{2}+y-2\right)$$

Multiply $2$ and $5$ to get $10$.

$$10x^{3}+4-\left(x^{2}+y-2\right)$$

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

$$10x^{3}+4-x^{2}-y+2$$

Add $4$ and $2$ to get $6$.

$$10x^{3}+6-x^{2}-y$$