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a2 - 100b2 solution in polynomial in mathematics

Sagot :

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)