How to solve binomial (2p-8)(5p-3)

Expert Answers
kingattaskus12 eNotes educator| Certified Educator

We will use the FOIL method to simplify the given expression.


Multiply each term in the first group by each term in the second group using the FOIL method. FOIL stands for First Outer Inner Last, and is a method of multiplying two binomials. First, multiply the first two terms in each binomial group. Next, multiply the outer terms in each group, followed by the inner terms. Finally, multiply the last two terms in each group.

`(2p * 5p+2p (-3)-8 * 5p-8 * (-3)) `


Simplify the FOIL expression by multiplying and combining all like terms.

`10p^2-6p-40p+24`

`10p^2-46p+24`

lemjay eNotes educator| Certified Educator

To multiply two binomials, apply FOIL. (See image for the pattern.)

`(2p-8)(5p-3)`

`=2p*5p +2p*(-3) -8*5p -8*(-3)`

`=10p^2 - 6p - 40p + 24`

`=10p^2 -46p + 24`

Hence, `(2p-8)(5p-3)=10p^2 -46p + 24` .

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