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

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

Evaluate

$\left(3x+2\right)\left(x+y-2\right)-3x+2$

Solution Steps

Apply the distributive property by multiplying each term of $3x+2$ by each term of $x+y-2$.

$$3x^{2}+3xy-6x+2x+2y-4-3x+2$$

Combine $-6x$ and $2x$ to get $-4x$.

$$3x^{2}+3xy-4x+2y-4-3x+2$$

Combine $-4x$ and $-3x$ to get $-7x$.

$$3x^{2}+3xy-7x+2y-4+2$$

Add $-4$ and $2$ to get $-2$.

$$3x^{2}+3xy-7x+2y-2$$

Expand

$3x^{2}+3xy-7x+2y-2$

Solution Steps

Apply the distributive property by multiplying each term of $3x+2$ by each term of $x+y-2$.

$$3x^{2}+3xy-6x+2x+2y-4-3x+2$$

Combine $-6x$ and $2x$ to get $-4x$.

$$3x^{2}+3xy-4x+2y-4-3x+2$$

Combine $-4x$ and $-3x$ to get $-7x$.

$$3x^{2}+3xy-7x+2y-4+2$$

Add $-4$ and $2$ to get $-2$.

$$3x^{2}+3xy-7x+2y-2$$