Evaluate
x\left(5x+13\right)
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5x^{2}+13x
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\left(5x+10\right)\left(x+3\right)-6\left(x+3\right)-6x-12
Use the distributive property to multiply 5 by x+2.
5x^{2}+15x+10x+30-6\left(x+3\right)-6x-12
Apply the distributive property by multiplying each term of 5x+10 by each term of x+3.
5x^{2}+25x+30-6\left(x+3\right)-6x-12
Combine 15x and 10x to get 25x.
5x^{2}+25x+30-6x-18-6x-12
Use the distributive property to multiply -6 by x+3.
5x^{2}+19x+30-18-6x-12
Combine 25x and -6x to get 19x.
5x^{2}+19x+12-6x-12
Subtract 18 from 30 to get 12.
5x^{2}+13x+12-12
Combine 19x and -6x to get 13x.
5x^{2}+13x
Subtract 12 from 12 to get 0.
\left(5x+10\right)\left(x+3\right)-6\left(x+3\right)-6x-12
Use the distributive property to multiply 5 by x+2.
5x^{2}+15x+10x+30-6\left(x+3\right)-6x-12
Apply the distributive property by multiplying each term of 5x+10 by each term of x+3.
5x^{2}+25x+30-6\left(x+3\right)-6x-12
Combine 15x and 10x to get 25x.
5x^{2}+25x+30-6x-18-6x-12
Use the distributive property to multiply -6 by x+3.
5x^{2}+19x+30-18-6x-12
Combine 25x and -6x to get 19x.
5x^{2}+19x+12-6x-12
Subtract 18 from 30 to get 12.
5x^{2}+13x+12-12
Combine 19x and -6x to get 13x.
5x^{2}+13x
Subtract 12 from 12 to get 0.
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