Solve x(y+1)+2(y+1)+9(y+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

$$x(y+1)+2(y+1)+9(y+1)$$

Evaluate

$\left(x+11\right)\left(y+1\right)$

Solution Steps

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

$$xy+x+2\left(y+1\right)+9\left(y+1\right)$$

Use the distributive property to multiply $2$ by $y+1$.

$$xy+x+2y+2+9\left(y+1\right)$$

Use the distributive property to multiply $9$ by $y+1$.

$$xy+x+2y+2+9y+9$$

Combine $2y$ and $9y$ to get $11y$.

$$xy+x+11y+2+9$$

Add $2$ and $9$ to get $11$.

$$xy+x+11y+11$$

Expand

$xy+x+11y+11$

Solution Steps

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

$$xy+x+2\left(y+1\right)+9\left(y+1\right)$$

Use the distributive property to multiply $2$ by $y+1$.

$$xy+x+2y+2+9\left(y+1\right)$$

Use the distributive property to multiply $9$ by $y+1$.

$$xy+x+2y+2+9y+9$$

Combine $2y$ and $9y$ to get $11y$.

$$xy+x+11y+2+9$$

Add $2$ and $9$ to get $11$.

$$xy+x+11y+11$$