Solve 3x(x ^ 2 - 7x - 1) + 2x ^ 2 * (6x - 5) | 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

$$3x(x^{2}-7x-1)+2x^{2}(6x-5)$$

Evaluate

$x\left(15x^{2}-31x-3\right)$

Solution Steps

Use the distributive property to multiply $3x$ by $x^{2}-7x-1$.

$$3x^{3}-21x^{2}-3x+2x^{2}\left(6x-5\right)$$

Use the distributive property to multiply $2x^{2}$ by $6x-5$.

$$3x^{3}-21x^{2}-3x+12x^{3}-10x^{2}$$

Combine $3x^{3}$ and $12x^{3}$ to get $15x^{3}$.

$$15x^{3}-21x^{2}-3x-10x^{2}$$

Combine $-21x^{2}$ and $-10x^{2}$ to get $-31x^{2}$.

$$15x^{3}-31x^{2}-3x$$

Expand

$15x^{3}-31x^{2}-3x$

Solution Steps

Use the distributive property to multiply $3x$ by $x^{2}-7x-1$.

$$3x^{3}-21x^{2}-3x+2x^{2}\left(6x-5\right)$$

Use the distributive property to multiply $2x^{2}$ by $6x-5$.

$$3x^{3}-21x^{2}-3x+12x^{3}-10x^{2}$$

Combine $3x^{3}$ and $12x^{3}$ to get $15x^{3}$.

$$15x^{3}-21x^{2}-3x-10x^{2}$$

Combine $-21x^{2}$ and $-10x^{2}$ to get $-31x^{2}$.

$$15x^{3}-31x^{2}-3x$$