Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$${ \left(x-1 \right) }^{ 2 } +(1-x)(x-3)$$

Answer

2*x-2

Solution


Use Square of Difference: \({(a-b)}^{2}={a}^{2}-2ab+{b}^{2}\).
\[{x}^{2}-2x+1+(1-x)(x-3)\]
Use the FOIL method: \((a+b)(c+d)=ac+ad+bc+bd\).
\[{x}^{2}-2x+1+x-3-{x}^{2}+3x\]
Collect like terms.
\[({x}^{2}-{x}^{2})+(-2x+x+3x)+(1-3)\]
Simplify.
\[2x-2\]
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