Answer:
1.125 - (22•5x2)
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
125 - 20x2 = -5 • (4x2 - 25)
Trying to factor as a Difference of Squares:
3.2 Factoring: 4x2 - 25
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 : 4 is the square of 2
Check : 25 is the square of 5
Check : x2 is the square of x1
Factorization is : (2x + 5) • (2x - 5)
Final result :
-5 • (2x + 5) • (2x - 5)
Step-by-step explanation:
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