Solve y = - (x + 3) * (x + 1) ^ 2 * (x - 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

$$y=-(x+3)(x+1)^{2}(x-2)$$

Solve for y

$y=-\left(x-2\right)\left(x+3\right)\left(x+1\right)^{2}$

Solution Steps

To find the opposite of $x+3$, find the opposite of each term.

$$y=\left(-x-3\right)\left(x+1\right)^{2}\left(x-2\right)$$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(x+1\right)^{2}$.

$$y=\left(-x-3\right)\left(x^{2}+2x+1\right)\left(x-2\right)$$

Use the distributive property to multiply $-x-3$ by $x^{2}+2x+1$ and combine like terms.

$$y=\left(-x^{3}-5x^{2}-7x-3\right)\left(x-2\right)$$

Use the distributive property to multiply $-x^{3}-5x^{2}-7x-3$ by $x-2$ and combine like terms.

$$y=-x^{4}-3x^{3}+3x^{2}+11x+6$$