64x2-25y2 Final result : (8x + 5y) • (8x - 5y) Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
Step by step solution:
Step 1: Equation at the end of step 1 : (64 • (x2)) - 52y2 Step 2: Equation at the end of step 2: 26x2 - 52y2 Step 3: Trying to factor as a Difference of Squares :
3.1 Factoring: 64x2-25y2
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: 64 is the square of 8
Check: 25 is the square of 5
Check: x2 is the square of x1
Check: y2 is the square of y1
Factorization is : (8x + 5y) • (8x - 5y)
Final result : (8x + 5y) • (8x - 5y)
