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x^{2}+5x+7x+35+\left(x-2\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x+7 by each term of x+5.
x^{2}+12x+35+\left(x-2\right)\left(x+5\right)
Combine 5x and 7x to get 12x.
x^{2}+12x+35+x^{2}+5x-2x-10
Apply the distributive property by multiplying each term of x-2 by each term of x+5.
x^{2}+12x+35+x^{2}+3x-10
Combine 5x and -2x to get 3x.
2x^{2}+12x+35+3x-10
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+15x+35-10
Combine 12x and 3x to get 15x.
2x^{2}+15x+25
Subtract 10 from 35 to get 25.
x^{2}+5x+7x+35+\left(x-2\right)\left(x+5\right)
Apply the distributive property by multiplying each term of x+7 by each term of x+5.
x^{2}+12x+35+\left(x-2\right)\left(x+5\right)
Combine 5x and 7x to get 12x.
x^{2}+12x+35+x^{2}+5x-2x-10
Apply the distributive property by multiplying each term of x-2 by each term of x+5.
x^{2}+12x+35+x^{2}+3x-10
Combine 5x and -2x to get 3x.
2x^{2}+12x+35+3x-10
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+15x+35-10
Combine 12x and 3x to get 15x.
2x^{2}+15x+25
Subtract 10 from 35 to get 25.