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3x^{2}+x^{2}-1
Consider \left(x+1\right)\left(x-1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
4x^{2}-1
Combine 3x^{2} and x^{2} to get 4x^{2}.
3x^{2}+x^{2}-1
Consider \left(x+1\right)\left(x-1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
4x^{2}-1
Combine 3x^{2} and x^{2} to get 4x^{2}.