Factor
\left(b+2c-5\right)\left(a+3b+2\right)
Evaluate
\left(b+2c-5\right)\left(a+3b+2\right)
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\left(b+2c-5\right)a+3b^{2}+6bc-13b+4c-10
Consider ab+2ac+3b^{2}+6bc-5a-13b+4c-10 as a polynomial over variable a.
\left(a+3b+2\right)\left(b+2c-5\right)
Find one factor of the form ka+m, where ka divides the monomial with the highest power \left(b+2c-5\right)a and m divides the constant factor 3b^{2}+6bc-13b+4c-10. One such factor is a+3b+2. Factor the polynomial by dividing it by this factor.
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