Solve 2a(a-1)+3b(a-1)-(a-1) | 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

$$2a(a-1)+3b(a-1)-(a-1)$$

Evaluate

$\left(a-1\right)\left(2a+3b-1\right)$

Solution Steps

Use the distributive property to multiply $2a$ by $a-1$.

$$2a^{2}-2a+3b\left(a-1\right)-\left(a-1\right)$$

Use the distributive property to multiply $3b$ by $a-1$.

$$2a^{2}-2a+3ba-3b-\left(a-1\right)$$

To find the opposite of $a-1$, find the opposite of each term.

$$2a^{2}-2a+3ba-3b-a-\left(-1\right)$$

The opposite of $-1$ is $1$.

$$2a^{2}-2a+3ba-3b-a+1$$

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

$$2a^{2}-3a+3ba-3b+1$$

Expand

$2a^{2}+3ab-3a-3b+1$

Solution Steps

Use the distributive property to multiply $2a$ by $a-1$.

$$2a^{2}-2a+3b\left(a-1\right)-\left(a-1\right)$$

Use the distributive property to multiply $3b$ by $a-1$.

$$2a^{2}-2a+3ba-3b-\left(a-1\right)$$

To find the opposite of $a-1$, find the opposite of each term.

$$2a^{2}-2a+3ba-3b-a-\left(-1\right)$$

The opposite of $-1$ is $1$.

$$2a^{2}-2a+3ba-3b-a+1$$

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

$$2a^{2}-3a+3ba-3b+1$$