Solve ((x)^(2)+1)(2x+5)+(-3x-11) | 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

$$( { x }^{ 2 } +1)(2x+5)+(-3x-11)$$

Evaluate

$\left(x-1\right)\left(x+2\right)\left(2x+3\right)$

Solution Steps

Use the distributive property to multiply $x^{2}+1$ by $2x+5$.

$$2x^{3}+5x^{2}+2x+5-3x-11$$

Combine $2x$ and $-3x$ to get $-x$.

$$2x^{3}+5x^{2}-x+5-11$$

Subtract $11$ from $5$ to get $-6$.

$$2x^{3}+5x^{2}-x-6$$

Expand

$2x^{3}+5x^{2}-x-6$

Solution Steps

Use the distributive property to multiply $x^{2}+1$ by $2x+5$.

$$2x^{3}+5x^{2}+2x+5-3x-11$$

Combine $2x$ and $-3x$ to get $-x$.

$$2x^{3}+5x^{2}-x+5-11$$

Subtract $11$ from $5$ to get $-6$.

$$2x^{3}+5x^{2}-x-6$$