Easy Algebra Step-by-Step

98 Easy Algebra Step-by-Step

Multiplying Binomials

Multiplying Two Binomials

To multiply two binomials, multiply all the terms of the second binomial by

each term of the fi rst binomial and then simplify.

Problem Find the product.

a.())))()(((

b.()b)()( d

Solution

a.())))()(((

Step 1. Multiply all the terms of the second binomial by each term of the

fi rst binomial.

() 23 x 3 ()x− 5

= (^22) xx xx 535355 x− 35
= 21 xx^211100030 x− 15
Step 2. Simplify.
= 27 xx^2 − 7 − 15
b. ()b)()( d
Step 1. Multiply all the terms of the second binomial by each term of the
fi rst binomial.
(ab)(cd)
=ac⋅ +ad⋅ +bc⋅ +bd⋅
=+ac ad++bc bd
Step 2. Simplify.
There are no like terms, so ac++adad bc+bd is simplifi ed.
P
()^23 x^3 ()x−^5 ≠−^22 x^2215. Don’t
forget about −^25 xx⋅^5 ++⋅^33!