Answer:
x • (x2 - 7)
Step-by-step explanation:
Step 1 :
Trying to factor as a Difference of Squares :
1.1 Factoring: x2-7
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 - B
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 7 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Final result :
x • (x2 - 7)
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