Solve (x+6)(3x-4)+2x(x+6) | 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

$$(x+6)(3x-4)+2x(x+6)$$

Evaluate

$\left(5x-4\right)\left(x+6\right)$

Solution Steps

Apply the distributive property by multiplying each term of $x+6$ by each term of $3x-4$.

$$3x^{2}-4x+18x-24+2x\left(x+6\right)$$

Combine $-4x$ and $18x$ to get $14x$.

$$3x^{2}+14x-24+2x\left(x+6\right)$$

Use the distributive property to multiply $2x$ by $x+6$.

$$3x^{2}+14x-24+2x^{2}+12x$$

Combine $3x^{2}$ and $2x^{2}$ to get $5x^{2}$.

$$5x^{2}+14x-24+12x$$

Combine $14x$ and $12x$ to get $26x$.

$$5x^{2}+26x-24$$

Expand

$5x^{2}+26x-24$

Solution Steps

Apply the distributive property by multiplying each term of $x+6$ by each term of $3x-4$.

$$3x^{2}-4x+18x-24+2x\left(x+6\right)$$

Combine $-4x$ and $18x$ to get $14x$.

$$3x^{2}+14x-24+2x\left(x+6\right)$$

Use the distributive property to multiply $2x$ by $x+6$.

$$3x^{2}+14x-24+2x^{2}+12x$$

Combine $3x^{2}$ and $2x^{2}$ to get $5x^{2}$.

$$5x^{2}+14x-24+12x$$

Combine $14x$ and $12x$ to get $26x$.

$$5x^{2}+26x-24$$