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Solution - Simplification or other simple results
5*(c+1)*(c-1)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
5c2 - 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
5c2 - 5 = 5 • (c2 - 1)
Trying to factor as a Difference of Squares :
3.2 Factoring: c2 - 1
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : c2 is the square of c1
Factorization is : (c + 1) • (c - 1)
Final result :
5 • (c + 1) • (c - 1)
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