Solve 3(x - 3) * 5(2x + 1) solve | 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

$$3 ( 2 x - 3 ) 5 ( 2 x + 1 )$$

Evaluate

$60x^{2}-60x-45$

Solution Steps

Multiply $3$ and $5$ to get $15$.

$$15\left(2x-3\right)\left(2x+1\right)$$

Use the distributive property to multiply $15$ by $2x-3$.

$$\left(30x-45\right)\left(2x+1\right)$$

Apply the distributive property by multiplying each term of $30x-45$ by each term of $2x+1$.

$$60x^{2}+30x-90x-45$$

Combine $30x$ and $-90x$ to get $-60x$.

$$60x^{2}-60x-45$$

Expand

$60x^{2}-60x-45$

Solution Steps

Multiply $3$ and $5$ to get $15$.

$$15\left(2x-3\right)\left(2x+1\right)$$

Use the distributive property to multiply $15$ by $2x-3$.

$$\left(30x-45\right)\left(2x+1\right)$$

Apply the distributive property by multiplying each term of $30x-45$ by each term of $2x+1$.

$$60x^{2}+30x-90x-45$$

Combine $30x$ and $-90x$ to get $-60x$.

$$60x^{2}-60x-45$$