One method in multiplying bionomials is using the FOIL system which stands for first, inner, outter, last; and combining any like terms.
Example: (2x+5)(x-2)
When using the FOIL method, you first distribute the 2x from the first equation in parenthesis to the second equation in parenthesis with the distrubutive property of multiplication and bring down the sighs:
(2x)(x)+(2x)(-2)= 2x^2-4x
Then from the first numbers in the parenthesis [(2x+5)] you use the same method, distrubtuive property of multiplication and mulitply 5 this time into the second equation and again, bring down the sighs:
(5)(x)+(5)(-2)=5x-10
You then combine the equation together: 2x^2-4x+5x-10
And combine any like terms as to being your final answer: 2x^2+x-10
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