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2x^{4}+5x^{3}-8x^{2}+5x+2-\left(-4x-7\right)
Use the distributive property to multiply 2x^{2}-3x+2 by x^{2}+4x+1 and combine like terms.
2x^{4}+5x^{3}-8x^{2}+5x+2+4x+7
To find the opposite of -4x-7, find the opposite of each term.
2x^{4}+5x^{3}-8x^{2}+9x+2+7
Combine 5x and 4x to get 9x.
2x^{4}+5x^{3}-8x^{2}+9x+9
Add 2 and 7 to get 9.
2x^{4}+5x^{3}-8x^{2}+5x+2-\left(-4x-7\right)
Use the distributive property to multiply 2x^{2}-3x+2 by x^{2}+4x+1 and combine like terms.
2x^{4}+5x^{3}-8x^{2}+5x+2+4x+7
To find the opposite of -4x-7, find the opposite of each term.
2x^{4}+5x^{3}-8x^{2}+9x+2+7
Combine 5x and 4x to get 9x.
2x^{4}+5x^{3}-8x^{2}+9x+9
Add 2 and 7 to get 9.