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3x^{4}+13x^{3}-4x^{2}+13x+3-\left(-5x^{2}-6\right)
Use the distributive property to multiply 3x^{2}-2x+3 by x^{2}+5x+1 and combine like terms.
3x^{4}+13x^{3}-4x^{2}+13x+3+5x^{2}+6
To find the opposite of -5x^{2}-6, find the opposite of each term.
3x^{4}+13x^{3}+x^{2}+13x+3+6
Combine -4x^{2} and 5x^{2} to get x^{2}.
3x^{4}+13x^{3}+x^{2}+13x+9
Add 3 and 6 to get 9.
3x^{4}+13x^{3}-4x^{2}+13x+3-\left(-5x^{2}-6\right)
Use the distributive property to multiply 3x^{2}-2x+3 by x^{2}+5x+1 and combine like terms.
3x^{4}+13x^{3}-4x^{2}+13x+3+5x^{2}+6
To find the opposite of -5x^{2}-6, find the opposite of each term.
3x^{4}+13x^{3}+x^{2}+13x+3+6
Combine -4x^{2} and 5x^{2} to get x^{2}.
3x^{4}+13x^{3}+x^{2}+13x+9
Add 3 and 6 to get 9.