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Answer:
( a + 10b ) • ( a - 10b )
Step-by-step explanation:
Reformatting the input:
Changes made to your input should not affect the solution:
1.) b2 was replaced by b^2 one more similar replacement/s.
Step 1: Equation at the end of step 1
( a² ) - ( 2²•5²b2 )
Step 2: Trying to factor as a
Difference Of Squares.
2. Factoring: a²- 100b2
Theory: A difference of two perfect squares,
A²- B² can be factored into ( A+B ) • ( A-B )
( 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: 100 is the square of 10
Check: a² is the square of a¹
Check: b² is the square of b¹
Factorization is: (a + 10b) • (a - 10b)
Answer: (a + 10b) • (a - 10b)