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Solution - Simplification or other simple results
(2x+9)*(9-2x)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
81 - 22x2
Step 2 :
Trying to factor as a Difference of Squares :
2.1 Factoring: 81-4x2
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 : 81 is the square of 9
Check : 4 is the square of 2
Check : x2 is the square of x1
Factorization is : (9 + 2x) • (9 - 2x)
Final result :
(2x + 9) • (9 - 2x)
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