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30x^{2}+21x+3
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30x^{2}+21x+3
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15x^{2}+10x+3x+2+\left(-5x-1\right)\left(-3x-1\right)
Apply the distributive property by multiplying each term of -5x-1 by each term of -3x-2.
15x^{2}+13x+2+\left(-5x-1\right)\left(-3x-1\right)
Combine 10x and 3x to get 13x.
15x^{2}+13x+2+15x^{2}+5x+3x+1
Apply the distributive property by multiplying each term of -5x-1 by each term of -3x-1.
15x^{2}+13x+2+15x^{2}+8x+1
Combine 5x and 3x to get 8x.
30x^{2}+13x+2+8x+1
Combine 15x^{2} and 15x^{2} to get 30x^{2}.
30x^{2}+21x+2+1
Combine 13x and 8x to get 21x.
30x^{2}+21x+3
Add 2 and 1 to get 3.
15x^{2}+10x+3x+2+\left(-5x-1\right)\left(-3x-1\right)
Apply the distributive property by multiplying each term of -5x-1 by each term of -3x-2.
15x^{2}+13x+2+\left(-5x-1\right)\left(-3x-1\right)
Combine 10x and 3x to get 13x.
15x^{2}+13x+2+15x^{2}+5x+3x+1
Apply the distributive property by multiplying each term of -5x-1 by each term of -3x-1.
15x^{2}+13x+2+15x^{2}+8x+1
Combine 5x and 3x to get 8x.
30x^{2}+13x+2+8x+1
Combine 15x^{2} and 15x^{2} to get 30x^{2}.
30x^{2}+21x+2+1
Combine 13x and 8x to get 21x.
30x^{2}+21x+3
Add 2 and 1 to get 3.
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Limits
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