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Algebra Examples
(c+5)(c-5)(c+5)(c−5)
Step 1
Step 1.1
Apply the distributive property.
c(c-5)+5(c-5)c(c−5)+5(c−5)
Step 1.2
Apply the distributive property.
c⋅c+c⋅-5+5(c-5)c⋅c+c⋅−5+5(c−5)
Step 1.3
Apply the distributive property.
c⋅c+c⋅-5+5c+5⋅-5c⋅c+c⋅−5+5c+5⋅−5
c⋅c+c⋅-5+5c+5⋅-5c⋅c+c⋅−5+5c+5⋅−5
Step 2
Step 2.1
Combine the opposite terms in c⋅c+c⋅-5+5c+5⋅-5c⋅c+c⋅−5+5c+5⋅−5.
Step 2.1.1
Reorder the factors in the terms c⋅-5c⋅−5 and 5c5c.
c⋅c-5c+5c+5⋅-5c⋅c−5c+5c+5⋅−5
Step 2.1.2
Add -5c−5c and 5c5c.
c⋅c+0+5⋅-5c⋅c+0+5⋅−5
Step 2.1.3
Add c⋅cc⋅c and 00.
c⋅c+5⋅-5c⋅c+5⋅−5
c⋅c+5⋅-5c⋅c+5⋅−5
Step 2.2
Simplify each term.
Step 2.2.1
Multiply cc by cc.
c2+5⋅-5c2+5⋅−5
Step 2.2.2
Multiply 55 by -5−5.
c2-25c2−25
c2-25c2−25
c2-25c2−25