Solve (x - 3)(y - 3) + 3(y - 3) + 3(x - 3) + 3 ^ 2 | 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

$$(x-3)\cdot(y-3)+3(y-3)+3(x-3)+3^{2}$$

Evaluate

$xy$

Solution Steps

Apply the distributive property by multiplying each term of $x-3$ by each term of $y-3$.

$$xy-3x-3y+9+3\left(y-3\right)+3\left(x-3\right)+3^{2}$$

Use the distributive property to multiply $3$ by $y-3$.

$$xy-3x-3y+9+3y-9+3\left(x-3\right)+3^{2}$$

Combine $-3y$ and $3y$ to get $0$.

$$xy-3x+9-9+3\left(x-3\right)+3^{2}$$

Subtract $9$ from $9$ to get $0$.

$$xy-3x+3\left(x-3\right)+3^{2}$$

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

$$xy-3x+3x-9+3^{2}$$

Combine $-3x$ and $3x$ to get $0$.

$$xy-9+3^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$xy-9+9$$

Add $-9$ and $9$ to get $0$.

$$xy$$

Expand

$xy$

Solution Steps

Apply the distributive property by multiplying each term of $x-3$ by each term of $y-3$.

$$xy-3x-3y+9+3\left(y-3\right)+3\left(x-3\right)+3^{2}$$

Use the distributive property to multiply $3$ by $y-3$.

$$xy-3x-3y+9+3y-9+3\left(x-3\right)+3^{2}$$

Combine $-3y$ and $3y$ to get $0$.

$$xy-3x+9-9+3\left(x-3\right)+3^{2}$$

Subtract $9$ from $9$ to get $0$.

$$xy-3x+3\left(x-3\right)+3^{2}$$

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

$$xy-3x+3x-9+3^{2}$$

Combine $-3x$ and $3x$ to get $0$.

$$xy-9+3^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$xy-9+9$$

Add $-9$ and $9$ to get $0$.

$$xy$$