Easy Algebra Step-by-Step

100 Easy Algebra Step-by-Step

b.()))))(((()(

Step 1. Find the partial products using the acronym FOIL.

()x )()(xx−

=xx⋅ − xx⋅ ⋅ + =xx− x

First Outer InnerLast Middle ter

 ^52 − ^25 ⋅^52 x−

2

msmm

 +^10

Step 2. Simplify.

=xx^2 − 71 x+ 0

Step 3. State the main result.

()x )(()xx− =xxx^271 x+ 0

c. ())))))((()(((

Step 1. Find the partial products using the acronym FOIL.

()x )()(xx+

=xx⋅ +⋅xx⋅ ⋅ − =+xx+ x

First Outer InnerLast Middle ter

 ^52 − ^25 ⋅^52 x−

2

msmm

 −^10

Step 2. Simplify.

=+xx^2 + 31 x− 0

Step 3. State the main result.

()x )(()xx+ =+xxx^231 x− 0

d. ()y^2

Step 1. Write as a product.

()xy+ =()xyx+ ()xy+

2

Step 2. Find the partial products using the acronym FOIL.

= xx⋅ +⋅xy⋅ +⋅yx⋅ +⋅yy⋅ =+xx+ yx++ y

First Outer Inner Last Middle ter

 

2

msmm



+y^2

Step 3. Simplify.

=+xx^22 ++ 2 yy+++

()y)^22 ≠≠xyx +^2! Don’t forget

the middle terms!