Answer:

-5c+1

Step-by-step explanation:

-c)5c²-c(-5c+1

5c²

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× -c

-c

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×

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Answer:

Changes made to your input should not affect the solution:

(1): "c2" was replaced by "c^2".

STEP

1

:

c

Simplify —

c

Equation at the end of step

1

:

(5 • (c2)) - 1

STEP

2

:

Equation at the end of step

2

:

5c2 - 1

STEP

3

:

Trying to factor as a Difference of Squares:

3.1 Factoring: 5c2-1

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 : 5 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

5c2 - 1

Step-by-step explanation:

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