Solve (1+3A)(x+1)-2A(x+1)+3(x+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

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

Evaluate

$\left(A+4\right)\left(x+1\right)$

Solution Steps

Apply the distributive property by multiplying each term of $1+3A$ by each term of $x+1$.

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

Use the distributive property to multiply $3$ by $x+1$.

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

Use the distributive property to multiply $-2A$ by $x+1$.

$$x+1+3Ax+3A-2Ax-2A+3x+3$$

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

$$x+1+Ax+3A-2A+3x+3$$

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

$$x+1+Ax+A+3x+3$$

Combine $x$ and $3x$ to get $4x$.

$$4x+1+Ax+A+3$$

Add $1$ and $3$ to get $4$.

$$4x+4+Ax+A$$

Expand

$Ax+4x+A+4$

Solution Steps

Apply the distributive property by multiplying each term of $1+3A$ by each term of $x+1$.

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

Use the distributive property to multiply $3$ by $x+1$.

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

Use the distributive property to multiply $-2A$ by $x+1$.

$$x+1+3Ax+3A-2Ax-2A+3x+3$$

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

$$x+1+Ax+3A-2A+3x+3$$

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

$$x+1+Ax+A+3x+3$$

Combine $x$ and $3x$ to get $4x$.

$$4x+1+Ax+A+3$$

Add $1$ and $3$ to get $4$.

$$4x+4+Ax+A$$