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1-x\times 1+1+x+\left(1-x\right)\left(1+x\right)
Use the distributive property to multiply 1 by 1+x.
1-x\times 1+1+x+1^{2}-x^{2}
Consider \left(1-x\right)\left(1+x\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
1-x\times 1+1+x+1-x^{2}
Calculate 1 to the power of 2 and get 1.
1-x\times 1+2+x-x^{2}
Add 1 and 1 to get 2.
1-x+2+x-x^{2}
Multiply -1 and 1 to get -1.
3-x+x-x^{2}
Add 1 and 2 to get 3.
3-x^{2}
Combine -x and x to get 0.
1-x\times 1+1+x+\left(1-x\right)\left(1+x\right)
Use the distributive property to multiply 1 by 1+x.
1-x\times 1+1+x+1^{2}-x^{2}
Consider \left(1-x\right)\left(1+x\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
1-x\times 1+1+x+1-x^{2}
Calculate 1 to the power of 2 and get 1.
1-x\times 1+2+x-x^{2}
Add 1 and 1 to get 2.
1-x+2+x-x^{2}
Multiply -1 and 1 to get -1.
3-x+x-x^{2}
Add 1 and 2 to get 3.
3-x^{2}
Combine -x and x to get 0.