Solve f(x)=(x-1)(x-3)-x+17 | 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

$$f(x)=(x-1)(x-3)-x+17$$

Evaluate

$x^{2}-5x+20$

Solution Steps

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

$$x^{2}-3x-x+3-x+17$$

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

$$x^{2}-4x+3-x+17$$

Combine $-4x$ and $-x$ to get $-5x$.

$$x^{2}-5x+3+17$$

Add $3$ and $17$ to get $20$.

$$x^{2}-5x+20$$

Expand

$x^{2}-5x+20$

Solution Steps

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

$$x^{2}-3x-x+3-x+17$$

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

$$x^{2}-4x+3-x+17$$

Combine $-4x$ and $-x$ to get $-5x$.

$$x^{2}-5x+3+17$$

Add $3$ and $17$ to get $20$.

$$x^{2}-5x+20$$