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x^{2}-\left(x^{2}+4x+3\right)
Use the distributive property to multiply x+1 by x+3 and combine like terms.
x^{2}-x^{2}-4x-3
To find the opposite of x^{2}+4x+3, find the opposite of each term.
-4x-3
Combine x^{2} and -x^{2} to get 0.
x^{2}-\left(x^{2}+4x+3\right)
Use the distributive property to multiply x+1 by x+3 and combine like terms.
x^{2}-x^{2}-4x-3
To find the opposite of x^{2}+4x+3, find the opposite of each term.
-4x-3
Combine x^{2} and -x^{2} to get 0.